# A retangle has an area of 30 square meters and a perimeter of 34 meters what are the dimensions of the retangle

1 answer

###### Question:

A retangle has an area of 30 square meters and a perimeter of 34 meters what are the dimensions of the retangle

## Answers

Answer: Length = 15 meters Width = 2 meters Step-by-step explanation:Perimeter of a rectangle = 2l + 2wArea of a rectangle = l × wwhere l = lengthw = widthTherefore, 2l + 2w = 34 ...... il × w = 30 ........ iiFrom equation i2l + 2w = 34Divide through by 2.l + w = 17 ...... iiiThen, l = 17 - w ........ ivPut equation iv into iil × w = 30(17 - w) × w = 3017w - w² = 30w² - 17w + 30 = 0w² - 15w - 2w + 30 = 0w(w - 15) - 2(w - 15) = 0(w - 2) = 0w = 0 + 2 = 2w - 15 = 0w = 0 + 15 = 15Length = 15 meters Width = 2 meters

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