Question

Quadratics Question
1. A rectangular room has a 10 ft. by 8 ft. rug in the center such that
the rug has the same amount of space to the wall on all 4 sides. Find
the amount of space between the rug and the wall if the room has an
area of 288 ft.​

Answer 1

Answer:

$208$ $ft^{2}$

Step-by-step explanation:

Lesson : Area / Quadratics

Find the equation for area:

$A= l *w$

The room is 10ft. by 8ft. , therefore

$A = 8*10$

$A = 80ft^{2}$

Since the area of the room is 288ft.

We have to subtract the first area we found from 288ft.

$288ft^{2} - 80ft^{2} = 208ft^{2}$

Therefore, the amount of space between the rug and the wall is 208ft²

Answer 2

Answer:

208 ft^2.

Step-by-step explanation:

Area of the rug = 80 ft^2.

Area of the space to the wall

= 288 - 80

= 208 ft^2.