Question

The perimeter of a rectangle is twice the sum of its length and width while
its area is the product of its length and width. Such that,
Perimeter = 2(L + w) and Area = Lºw​

Answer 1

Answer:

we are given that the perimeter (P)

P=2(l+w) and P=46

where length is l and width is w

we are also told that length is 2 more than twice width

⇒l=2w+2

⇒P=2(2w+2+w)=2(3w+2)=6w+4

equating perimeters gives

6w+4=46

subtract 4 from both sides and divide by 6

⇒6w=46−4=42

⇒w=426=7←width

⇒l=(2×7)+2=16←length

Step-by-step explanation: