Question

Derrick cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 51 inches.

Answer 1

Answer:

17 inches

Step-by-step explanation:

Given

$P = 51$ --- Perimeter of rectangle

Required

The length of the original square

The perimeter is calculated as

$51 = 2(L + W)$

Divide by 2

$25.5 = L + W$

The rectangle and the square have the same length.

So:

$L = 2W$

$25.5 = L + W$ becomes

$25.5 = 2W + W$

$25.5 = 3W$

Divide both sides by 3

$W = 8.5$

Recall that:

$L = 2W$

$L = 2 * 8.5$

$L = 17$