Question

Mulberry Elementary has a playground in the shape of a rectangle.

The length is 5.5 meters

The width is 3.2 meters

Over the summer, the school will increase both the length and the width of the playground by 40% each.

Part A:

What will be the perimeter, in meters, of the enlarged playground? Enter your answer as a decimal with a hundredths place value.

Part B:

By how many square meters will the area of the playground increase? Enter your answer as a decimal with a thousandths place value.

Answer 1

The perimeter of the enlarged playground is 24.36 meters, and the increase in area is 16.9 m²

What is an area?

An area is the amount of space occupied by a two dimensional shape or object. The area of a rectangle is:

Area = length * width

Given that length = 5.5 m, width = 3.2 m

Hence:

Area = 5.5 * 3.2 = 17.6 m²

Perimeter = 2(length + width) = 2(5.5 + 3.2) = 17.4 m

There is an increase in both the length and the width of the playground by 40% each. Hence:

New length = 1.4 * 5.5 = 7.7 m, new width = 1.4 * 3.2 = 4.48 m

Area = 7.7 * 4.48 = 34.5 m²

Perimeter = 2(length + width) = 2(7.7 + 4.48) = 24.36 m

Increase in area = 34.5 m² - 17.6 m² = 16.9 m²

The perimeter of the enlarged playground is 24.36 meters, and the increase in area is 16.9 m²

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