Question

A square has a side of length 1.6 yards. What is the area of the square inches? Round to the nearest tenth

Answer 1

Given that the side of the square is 1.6 yards.

The area of the square is

`A=a^2`

Substitute a=1.6, we get

`A=1.6^2=2.56yards^2`

We need to convert yards to inches.

We know that

`1\text{ yard =36 inches}`

Taking square on both sides, we get

`1^2yard^2=36^2inches^2`

`1yard^2=1296inches^2`

Multiplying by 2.56 on both sides, we get

`1*2.56yard^2=1296*2.56inches^2`

`2.56yards^2=3317.76inches^2`

Rounding to the nearest tenth, we get

`2.56yards^2=3317.8inches^2`

Hence the area of the given square is 3317.8 square inches.