# 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.

A_{P} = 25² = 625 m²

A_{J} = 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

A_{G} = 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.

A_{Z} = A_{Trapezoid} − A_{Walk}