Question

A garden is in the shape of a rectangle 85 m by 50m.

Flowers are grown in 32% of the garden.
The rest of the garden is grass.

Work out the area of the garden that is grass.
Show your working out.

Answer 1

The answer to your question is 2890 m²

Explanation:

Data

length = 85 m

width = 50 m

32% are flowers

Process

1.- Calculate the area of the garden

Area = length x width

-Substitution

Area = 85 x 50

= 4250 m²

2.- Calculate the area of the garden that are flowers

4250 ----------------- 100%

x ------------------ 32%

x = (32 x 4250) / 100

x = 136000/100

x = 1360 m² are flowers

3.- Calculate the area of the garden that is grass

Area of grass = 4250 - 1360

Area of grass = 2890 m²

Answer 2

2,890 meters^2 is grass

Explanation:

First find the area of the garden

Area of a rectangle can be found using:

a=lw

a=85*50

a=4,250 meters^2

We know that 32% of the area is flowers, so we can multiply 32% and 4250

32%*4250

Convert 32% to a decimal by dividing by 100

32%/100=0.32

0.32*4250=1360

So, 1360 meters^2 is flowers.

The rest must be grass, so we can find the difference between the total area and the flowers

4250-1360=2890

So, 2,890 meters^2 is grass