Question

A rectangular field has an area of 1,764 m2. the width of the field is 13 m more than the length. what is the perimeter of the field? 121 m 144 m 168 m 170 m

Answer 1

The Perimeter of the Field with a rectangular area of 1764 m² and the given width is; D: 170 m

What is the perimeter of the rectangle?

We are given;

Area of rectangle; A = 1764 m²

We are told that the width of the field is 13 m more than the length. Thus;

W = L + 13

Thus;

L(L + 13) = 1764

L² + 13L = 1764

Using quadratic equation calculator;

L = 36 m

Thus;

W = 36 + 13

W = 49

Perimeter = 2(L + W)

Perimeter = 2(49 + 36)

Perimeter = 170 m

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