The width of a rectangle is 3 inches less than its length. the area of the rectangle is 340 square inches. what are the length and width of the rectangle?

The length and width of the rectangle are 20 inches and 17 inches .

Step-by-step explanation:

Formula

Area of a rectangle = Length × Breadth

As given

The width of a rectangle is 3 inches less than its length. The area of the rectangle is 340 square inches.

Let us assume that the length is denoted by l.

Thus

Breadth = l - 3

Put in the above formula

340 = l × (l - 3)

340 = l² - 3l

l² - 3l - 340 = 0

l² - 20l + 17l - 340 = 0

l(l-20) + 17 (l-20) = 0

(l - 20) ( l+ 17) = 0

l = 20

l = -17 (This valueof length is neglected because length cannot be negative.)

As l = 20 inches

Breadth = 20 - 3

             = 17 inches

Therefore the length and width of the rectangle are 20 inches and 17 inches .

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