The width of a rectangle is 7 inches less than its length. The area of the rectangle is 120 square inches. Solve for the dimensions of the rectangle.

Length:
_____ inches

Width:
_____ inches

Use the square root property please.
I don't know how to write w(w-7) or w^2 -7w as a squared binomial.

Respuesta :

The length and width of the rectangle are 15in and 8in respectively

Area of rectangle

The formula for calculating the area of a rectangle is expressed as:

A = lw

  • l is the length
  • w is the width

If the width of a rectangle is 7 inches less than its length, then;

w = l - 7

A = 120 square inches

On substituting;

120 = (l-7)l

120 = l² - 7l

l² - 7l - 120 = 0

On factorizing, l = 15 in

w = A/l

w = 120/15

w = 8cm

Hence the length and width of the rectangle are 15in and 8in respectively

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