An 8-ft-by-10-ft rug leaves 1 ft of the bedroom floor exposed an all four sides. Find the perimeter of the bedroom floor.

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

Dimensions: 8ft by 10ft

Determine the perimeter of the bedroom floor

Perimeter of rectangle:

P = 2(l + w)

Explanation:

If 1 ft is exposed on all four sides, then this means  that we need to add 1 ft on to the dimension of the rug in order to determine the dimensions of the bedroom floor.

Dimension of bedroom floor = 9ft by 11 ft

Solution:

Since we now know the dimensions of the bedroom floor, we simply substitute the given values to the formula for perimeter.

P = 2(l + w)

P = 2(8ft + 10ft)

P = 2 (18ft)

P = 36ft

Final answer:
The perimeter of the bedroom is 36ft.