Louise measured the perimeter of her rectangular scrapbook to be 140 cm. If the scrapbook is 40 cm wide, how long is the scrapbooK

1 answer

Let's assume that the length of the scrapbook is "L" cm.

The perimeter of a rectangle is given by the formula:

Perimeter = 2(L + W)

where L is the length and W is the width.

We are given that the width of the scrapbook is 40 cm and the perimeter is 140 cm.

Substituting these values in the formula, we get:

140 = 2(L + 40)

Simplifying the equation, we get:

L + 40 = 70

L = 70 - 40

L = 30

Therefore, the length of the scrapbook is 30 cm.

To find the area of the scrapbook, we can use the formula:

Area = Length x Width

Substituting the values, we get:

Area = 30 x 40

Area = 1200 cm²

Therefore, the area of the scrapbook is 1200 cm².