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The width of a rectangle is 13 units less than the length. If the area is 90 square units, then find the dimensions of the rectangle.

Sagot :

If the area is 90 square units. Then the dimension of the rectangle will be 5 units and 18 units.

What is the area of the rectangle?

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L×W square units

The width of a rectangle is 13 units less than the length.

If the area is 90 square units.

W = L – 13

Then we have

                           90 = L(L – 13)

         L² – 13L – 90 = 0

L² – 18L + 5L – 90 = 0

L(L – 18) + 5(L – 18) = 0

         (L – 18)(L + 5) = 0

                             L = -5, 18

Then the width will be

W = 18 – 13

W = 5 units

Then the dimension of the rectangle will be 5 units and 18 units.

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

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