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
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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:
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