The length of the rectangle is 4cm less than its width. what are the dimensions of the rectangle if its area is 140

Question

Mathematics

Alessandro

20 July, 21:10

The length of the rectangle is 4cm less than its width. what are the dimensions of the rectangle if its area is 140

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Answers (1)

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Rodrigo Pearson · Answer 1

Let the width of the rectangle be x

Then length = x-4

Area=x (x-4) = 140

x²-4x=140

x²-4x-140=0

x²-14x+10x-140=0

x (x-14) + 10 (x-14) = 0

(x-14) (x+10) = 0

Therefore, length=14 cm and width=10 cm