Math worksheets on the calculation of areas of geometric figures as well as the calculation of perimeters in the seventh grade (7th). These math sheets are to download in PDF.
Exercise 1 – Calculating the perimeter of a figure.
Calculate the perimeter of the figure below.
Exercise 2 – Perimeter and area of a figure.
Calculate the perimeter and area of the figure below.
Exercise 3 – Calculating the area of a figure.
The figure is formed by a trapezoid, a rectangle and a semicircle (lengths are in cm).
Calculate the radius R of the circle.
Calculate the area of the trapezoid.
Calculate the area of the rectangle.
Calculate the area of the half-disk.
Calculate the total area.
Exercise 4 – Calculating the area of a geometric figure.
The figure is formed by a rectangle and a triangle (the lengths are in mm).
Calculate the area of the triangle, then the area of the rectangle, then the total area.
Exercise 5 – Metal part.
A metal part in the shape of a diamond with a hole of radius 10.
Calculate the hatched area.
All lengths are expressed in cm.
Exercise 6 – Area of a parallelogram.
Taking the square as the unit of area, give the area of rectangle ABCD and then the area of each of the parallelograms.
Exercise 7 – Area units and conversions
km². |
hm² |
dam² |
m² |
dm² |
cm². |
mm². |
|||||||
ha |
a |
ca |
|||||||||||
1 |
|||||||||||||
1 m² = 100 dm² = 10 000 cm² = 1 000 000 mm².
1 m² = 0,01 dam² = 0,000 1 hm² = 0,000 001 km²
ca = 1 m² 1 a = 1 dam² 1 ha = 1 hm²
1. Complete:
360 cm² = 3.6 ………. 1 km² = 1 000 000 ……….. 10 000 m² = 1 ………….
8 m² = …… dm ² = ……cm² .
145 cm² = … m² = … mm².
0,1 dam ² = ……m² = …km²
2. Complete:
15.4 m ² = ….dm ²
154 km² = … dm ²
0,02 cm² = …mm ²
2,024 mm² =…m ².
3.5 dam² = …… cm²
6,325 cm² = … m²
4.9 km² = … m²
3060 mm² = …cm².
2.74 dm² = … cm².
58,830 cm² = … sqm
0.68 cm² = . mm².
46 000 m ² = … km ²
1600 m ² =… km ²
172 mm ² = … cm ²
3 m ² = … cm ²
7.2 mm ² = … cm ²
3 ha = … m ².
18 ha = … cm².
856 ca = ……. m²
470 dm² = … a
8 400 a = … ha
3,5 km ² = …ha
18 a = … ha
0.0071 km ² = … a
1 m ² 35 dm ² = …dm ²
14 m ² 7 dm ² = …dm²
6 dam ² 8 m ² 29 dm ² = …dm²
480 cm² = …dm² ……cm²
14 506 cm² = …m² …dm² ….cm²
756 000 cm² =…..m² …dm²…cm²
7 dam ² = ……m² = 70 000 …..
6,2 m² = …dm² = 0,00062 …
Exercise 8 – Calculating the area of a rectangle.
Calculate the area of the following rectangles:
Exercise 9 – Area problem and area conversions.
The inscription “90 g/m²” on a ream of paper means
that 1 m² of this paper weighs 90 g.
How much does a ream of 500 sheets of A4 paper weigh, in kg
(21 cm x 29.7 cm rectangle) of this paper?
Exercise 10 – Height calculation
A triangle of area 0.1 dam² has a side length of 800 cm.
Calculate the height relative to this side .
Exercise 11 – Area of a trapezoid
A field has the shape of a trapezoid.
Calculate the area of the field.
Exercise 12 – Area conversion and conversion table.
Complete the following areas and conversions:
a) 2,6 m²=……… dm²=…….cm²
b) 3 cm² = … dm² = … m²
c) ….. km² = 57,4 hm²= ….. m²
Exercise 13 – Calculate the area of a pentagon.
The lengths are given in centimeters.
Calculate the area of the following pentagon ABCDE :
Exercise 14 – Painted surface.
The shape of the base of a 2 m long raw wood moulding is drawn below.
This molding, except for the bases, is painted with three coats of paint.
Calculate the area of the painted surface.
Exercise 15 – Drain.
A sink drain is formed by a disk with a radius of 1.6 cm, pierced by six identical holes of 8 mm in diameter.
What is the area of this bung, to the nearest ^{mm2}?
Exercise 16 – Calculate the area of a geometric figure.
1° Calculate the area of the parallelogram MNOP represented opposite.
2° Calculate PO (round to the nearest 0.1).
Exercise 17 – Calculate the area of a parallelogram.
The figure below is a parallelogram
1°C calculates its area.
2° Calculate its perimeter.
Exercise 18 – Diameter of the Ariane rocket
The Ariane 5 rocket is 57 m high.
a) How high is his scale model?
b) The diameter of the model is 5.7 cm. What is the real diameter of the rocket ?.
Exercise 19 – Perimeter of a flake
Calculate the perimeter of the following figure:
Exercise 20 – Height calculation.
Calculate the height of a triangle knowing that its area is 210 cm².
and the length of the corresponding base is 21 cm.
To get a head start on area formulas
A – “The Intruder”:
On the grid below, we have drawn six figures.
Knowing that the unit of area is the square, calculate the area of each of the 6 figures and find the intruder.
Exercise 21 – Area and perimeter of a parcel.
Mr. Leon has a sheep.
He set it up in a green field so that it could graze peacefully.
The plan of this land is represented below (colored part):
1. Determine the actual area of his plot (calculations will be given).
2. Mr Leon wants to fence his land.
How much wire mesh should he buy, knowing that he needs a 1.50 m opening for a gate. ? (calculations will be given)
The sheep is attached to stake A with a 5m long chain.
3. Show on the map the part of the land that can be grazed by the sheep, cross-hatch it in
green.
Determine the actual area grazed by the sheep).
We will admit that the part of the ground grazed by the sheep has an area of 4m².
Mr. Leon must treat his land against certain pests.
4. He does not want to treat the part on which the sheep feeds, so determine the area of
the surface that remains to be treated.
5. Knowing that he must buy 1 bag of product for 30m², how many bags must he
buy?
Exercise 22 – Area of a portion and median.
The triangle ABC below is divided into 4 parts.
The surfaces of three of them are known:
- 3 area units;
- 7 area units;
- and 3 area units.
What is the area of the fourth part? justify your answer.
Exercise 23 – Open problem on area calculation, skills base.
From three squares and their centers, we construct a pentagon.
Knowing that the side of the large square is 4 cm,
what is the area of the pentagon (shaded area)?
Exercise 24 – Area of a figure.
Calculate the perimeter and area of this figure.
The result will be rounded to the nearest
Exercise 25 – Calculating the area of a field.
Calculate the area of the following field in
Exercise 26 – Calculating the area and perimeter of a figure.
Calculate the area and perimeter of this figure.
Results will be rounded to the nearest .
Exercise 27 – Dimensions of a soccer field.
A soccer field represented to scale is a rectangle 23.1 cm long and 13.6 cm wide.
What are the actual dimensions of this soccer field?
Exercise 28 – Area calculations of triangles and area conversions
Performing conversions:
a. 12m² in dm² b. 1.32dm² in cm². c. 4.5 cm² in m². d. 8 552m² in km².
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