Question

the area of John's garden is the same size of Sarah's garden. John's garden has a width of 9 meters, and Sarah's garden has a width of 6 meters. The length of Sarah's garden is 2 meters more than John's. What is the combined area of both garden's?

Answer 1

The combined area of both gardens is 72 square meters.

Step-by-step explanation:

Given,

Width of John's garden = 9 meters

Width of Sarah's garden = 6 meters

Let,

l be the length of John's garden.

Length of John's garden = l+2

It is given that area of both gardens is same,

Area of Sarah's garden = Area of John's garden

Length * Width = Length * Width

$6*(l+2)=9*l\\6l+12=9l\\12=9l-6l\\12=3l\\3l=12$

Dividing both sides by 3

$\frac{3l}{3}=\frac{12}{3}\\l=4$

Length of John's garden = 4 meters

Length of Sarah's garden = 4+2 = 6 meters

Combined area = Area of John's + Area of Sarah's

Combined area = (Length * Width) + (Length * Width)

Combined area = (4*9)+(6*6)

Combines area = 36+36 = 72 square meters

The combined area of both gardens is 72 square meters.