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17. the formula for the perimeter of a rectangle with length l and widt…

Question

  1. the formula for the perimeter of a rectangle with length l and width w is given below. a rectangle has a perimeter 38, what could be its length l and width w?

p = 2(l + w)
l = 30, w = 8
l = 10, w = 9
l = 16, w = 16
l = 8, w = 7
clear all

Explanation:

Step1: Substitute values into formula

For \(L = 30,W = 8\), \(P=2(30 + 8)=2\times38 = 76
eq38\).
For \(L = 10,W = 9\), \(P=2(10 + 9)=2\times19 = 38\).
For \(L = 16,W = 16\), \(P=2(16 + 16)=2\times32 = 64
eq38\).
For \(L = 8,W = 7\), \(P=2(8 + 7)=2\times15 = 30
eq38\).

Answer:

\(L = 10,W = 9\)