Question

A small square has an area of 40 inches squared. A large square has sides that are 8 times longer than the small square. What is the area of the large square?

Answer 1

Given that

Area f small square = 40 inches squared.

`\begin{gathered} a=40 \\ \\ \text{ since a}=l^2 \\ \\ \Rightarrow40=l^2 \\ \\ \Rightarrow l=√(40) \end{gathered}`

Let the side of the large square be L

Since the large square has sides that are 8 times longer than the small square

=> L = 8l

`\begin{gathered} \Rightarrow L=8l \\ \\ \Rightarrow L=8(√(40)) \end{gathered}`

Hence, the area of Large square is;

`A=L^2=(8√(40))^2=64*40=256`

Hence, the area of the large square is: 256 inches squared.