The perimeter of rectangle is twice the sum of its length and its width.the perimeter is 22 meters and its length is 2 meters mo re than twice its width. What is its length?
2 answers:
P = 2(L + W) P = 22 L = 2W + 2 22 = 2(2W + 2 + W) 22 = 2(3W + 2) 22 = 6W + 4 22 - 4 = 6W 18 = 6W 18/6 = W 3 = W.....this is the width L = 2W + 2 L = 2(3) + 2 L = 6 + 2 L = 8 meters <=== this is the length
P=2(l+w) P= perimeter= 22m l=length= (2w+2) w=width Step 1: Solve for w substitute l=(2w+2) in equation 22=2[(2w+2)+w] combine like terms inside parentheses 22=2(3w+2) use distributive property to multiply 2 by everything inside parentheses 22=(2*3w) + (2*2) 22=6w+4 subtract 4 from both sides 18=6w divide both sides by 6 3 meters=w= width Step 2: Solve for length by substituting w=3 22=2(l+w) 22=2(l+3) 22=(2*l) + (2*3) 22=2l+6 16=2l 8 meters = l= length Check: 22=2(l+w) 22=2(8+3) 22=2(11) 22=22 Hope this helps! :)
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Step-by-step explanation:
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