# Area Worksheet

### Solutions

1Determine the area of an isosceles right triangle with the equal sides each measuring 10 cm in length.

2Calculate the number of trees that can be planted in a rectangular field which is 32 m long and 30 m wide if each tree needs 4 m² to grow.

3The area of a trapezoid is 120 m², the height is 8 m, and the smaller base measures 10 m. What is the length of the other base?

4Calculate the area of a parallelogram whose height is 2 cm and its base is 3 times its height.

5What is the area of the shaded area in the figure if the area of the entire hexagon is 96 cm²?

6Calculate the area of a rhombus whose larger diagonal measures 10 cm and whose minor diagonal is half the length of the other.

7Calculate the number of square tiles needed to cover a rectangular surface of 4 m by 3 m if the length of each side of the tiles is 10 cm.

8The perimeter of an equilateral triangle is 0.9 dm and its height is 25.95 cm. Calculate the area of the triangle.

9A rectangular field has a length of 170 m and a width of 28 m. Calculate:

1The area of the field in hectares.

2The price to re-seed the field if each square meter costs $15.

## 1

Determine the area of an isosceles right triangle with the equal sides each measuring 10 cm in length.

A = (10 · 10) : 2 = 50 cm²

## 2

Calculate the number of trees that can be planted in a rectangular field which is 32 m long and 30 m wide if each tree needs 4 m² to grow.

A = 32 · 30 = 960 m²

960 : 4 = 240 trees

## 3

The area of a trapezoid is 120 m², the height is 8 m, and the smaller base measures 10 m. What is the length of the other base?

## 4

Calculate the area of a parallelogram whose height is 2 cm and its base is 3 times its height.

h = 2 cm

b = 2 · 3 = 6 cm

A = 2 · 6 = 12 cm²

## 5

What is the area of the shaded area in the figure if the area of the entire hexagon is 96 cm²?

96 : 6 = 16 cm²

16 · 2 = 32 cm²

## 6

Calculate the area of a rhombus whose larger diagonal measures 10 cm and whose minor diagonal is half the length of the other.

D = 10 cm

d = 10 : 2 = 5 cm

A = (10 · 5) : 2 = 25 cm²

## 7

Calculate the number of square tiles needed to cover a rectangular surface of 4 m by 3 m if the length of each side of the tiles is 10 cm.

A_{S} = 4 · 3 = 12 m^{2} = 120,000 cm²

A_{B} = 10 · 10 = 100 cm²

120,000 : 100 = 1,200 tiles

## 8

The perimeter of an equilateral triangle is 0.9 dm and its height is 25.95 cm. Calculate the area of the triangle.

P = 0.9 dm = 90 cm

l = 90 : 3 = 30 cm

A = (30 · 25.95) : 2 = 389.25 cm²

## 9

A rectangular field has a length of 170 m and a width of 28 m. Calculate:

1The area of the field in hectares.

A = 170 · 28 = 4,760 m²

4,760 : 10,000 = 0. 476 ha

2The price to re-seed the field if each square meter costs $15.

4,760 · 15 = $71,400