Question

14. Devon has an area rug with a width 3 feet less than its length, l. He has purchased a larger rug to fit into his new dorm room. Both length and width of Devon's new rug are 2 feet longer than the original. Find the simplified expression of the perimeter and the NEW rug.​ plsssss help.me show work

Answer 1

Perimeter of the new rug = 4x+2 feet

Explanation:

Let the length be x feet and the width of the first rug will be x- 3 feet

Area = length * breadth = x * (x-3) = x²- 3x

Length of the new rug = x+2 feet

Width of the rug = x+2-3= x-1 feet

Perimeter of the recatngle = 2( length + breadth)

= 2( x+2 + x-1)

= 2 (2x+1)

= 4x+2 feet