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 recta

Question

2 years ago

13

ngle.

1 answer:

Artemon [7] · Answer 1 · 2023-10-08T05:16:42+03:00

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

<h3>What is the area of the rectangle?</h3>

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.

#SPJ1