The length of a rectangle is four feet more than twice the width of the rectangle. The area of the rectangle is 240 square feet. What, in feet, are the length and width of the rectangle

Respuesta :

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The width of the rectangle is 10ft , while the length of the rectangle is 24ft.

What is a rectangle?

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Let the width of the rectangle be represented by x.

The length of the rectangle is (2x+4), therefore, the area is,

Area = x(2x+4)

240 ft² = 2x² + 4x

2x² + 4x - 240 = 0

x² + 2x - 120 = 0

x = -12, 10

Since the width can not be negative, the width of the rectangle is 10, while the length of the rectangle is 24.

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