Question

The formula d = √2s² gives the length d of a diagonal of a square with side length s. Each side of a square piece of wood is 38 in. long. You paint a stripe along the

diagonal of the piece of wood. Estimate the length of the stripe to the nearest hundredth

Answer 1

Answer: 53.74 in

Explanation:

d=√2(38)²

d=√2*1444

d=√2888

d=53.74 in

Answer 2

53.74 in

Explanation:

Given formula

`\rm d=√(2s^2)`

where:

• d = diagonal of a square
• s = side length of a square

To estimate the diagonal of a square with side length 38 in, substitute s = 38 into the given formula and solve for d:

`\implies \rm d=√(2 (38)^2)`

`\implies \rm d=√(2 \cdot 1444)`

`\implies \rm d=√(2888)`

`\implies \rm d=53.74\:in\:\:(nearest\:hundredth)`