The perimeter of a rectangle is aboiut 11.9cm. if you double the width of the rectangle the perimeter is about 15.8 cm. find the dimensions of the smaller rectangle. Round the given values to the mearest integer. use the rounded values to write and sovle a system of equations to find the length and the width of the ractangle.

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Mathematics

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25 November, 22:22

The perimeter of a rectangle is aboiut 11.9cm. if you double the width of the rectangle the perimeter is about 15.8 cm. find the dimensions of the smaller rectangle. Round the given values to the mearest integer. use the rounded values to write and sovle a system of equations to find the length and the width of the ractangle.

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Virginia Fitzgerald · Answer 1

Length = L and width = W

So as the perimeter = 11.9 cm we can write:_

2L + 2W = 11.9

doubling the width, we have:-

2L + 4W = 15.8 Subtracting this equation from the first, we have

-2W = - 3.9

W = - 3.9 / - 2 = 1.95

2L + 3.9 = 11.9

L = 8/2 = 4

Answer: - length of smaller rectangle = 4 and width = 1.95.