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

$1\times2.56yard^2=1296\times2.56inches^2$

$2.56yards^2=3317.76inches^2$

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.