Ogwinkidn
Answered

IDNLearn.com provides a collaborative environment for finding and sharing knowledge. Get accurate and comprehensive answers from our network of experienced professionals.

Angelique wants to have a rug that is 9 feet long, 7 feet wide. the rug will cover the whole floor except a border that is x feet wide.the area of her room is 167 sq ft. find x

Sagot :

Emailspam2341idn
The width of the border will be about 2.5 feet.

The area of the rug is 9 by 7. Let's call the width of the border x. Therefore, the length of the rug will switch to 9 + 2x. The border is on both sides of it, so we add on 2x. Then, the width is 7 + 2x.

The area of the room is therefore: (9 + 2x)(7+ 2x).

We know the area of the room, so we can write and solve the following equation.

(9 + 2x)(7 + 2x) = 167
4x^2 + 32x + 63 = 167
4x^2 + 32x - 107 = 0

At this point, use the quadratic formula and x will equal about 2.5.
The answer is 2.5 . Hoped this helped
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.