# Area Word Problems

### Solutions

1A square garden with a side length of 150 m has a square swimming pool in the very centre with a side length of 25 m . Calculate the area of the garden.

2A rectangular garden has dimensions of 30 m by 20 m and is divided in to 4 parts by two pathways that run perpendicular from its sides. One pathway has a width of 8 dm and the other, 7 dm. Calculate the total usable area of the garden.

3Calculate the area of the quadrilateral that results from drawing lines between the midpoints of the sides of a rectangle whose base and height are 8 and 6 cm respectively.

4 A line connects the midpoint of BC (Point E), with Point D in the square ABCD shown below. Calculate the area of the acquired trapezoid shape if the square has a side of 4 m.

5Calculate the amount of paint needed to paint the front of this building knowing that 0.5 kg of paint is needed per m2.

6A wooded area is in the shape of a a trapezoid whose bases measure 128 m and 92 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular to the two bases. Calculate the area of the wooded area after the addition of the walkway.

## 1

A square garden with a side length of 150 m has a square swimming pool in the very centre with a side length of 25 m . Calculate the area of the garden.

AP = 252 = 625 m²

AJ = 1502 − 625 = 21 875 m²

## 2

A rectangular garden has dimensions of 30 m by 20 m and is divided in to 4 parts by two pathways that run perpendicular from its sides. One pathway has a width of 8 dm and the other, 7 dm. Calculate the total usable area of the garden.

8 dm = 0.8 m

h = 20 - 0.8 = 19.2 m

7 dm = 0.7 m

b = 30 − 0.7 = 29.3m

AG = 19.2 · 29.3 = 562.56 m²

## 3

Calculate the area of the quadrilateral that results from drawing lines between the midpoints of the sides of a rectangle whose base and height are 8 and 6 cm respectively.

## 4

A line connects the midpoint of BC (Point E), with Point D in the square ABCD. Calculate the area of the acquired trapezoid shape if the trapezoid shape of the square has a side of 4 m.

## 5

Calculate the amount of paint needed to paint the front of this building knowing that 0.5 kg of paint is needed per m2.

## 6

A wooded area is in the shape of a a trapezoid whose bases measure 128 m and 92 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular to the two bases. Calculate the area of the wooded area after the addition of the walkway.

AZ = ATrapezoid − AWalk