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a rectangle is drawn so that the width is 2 feet shorter than the length. the area of the rectangle is 3 square feet. find the length of the rectangle.

Sagot :

The length of the rectangle is found as 7 feet.

Explain the properties of rectangle?

  • It consists of four vertices and four sides.
  • Every vertex has a 90 degree angle.
  • A quadrilateral is a rectangle.
  • The opposing sides are level and parallel to one another.
  • 90 degrees is the angle of each interior.
  • 360 degrees is the total of all interior angles.

For the stated question;

Let the length and the width of the rectangle be 'L' and 'B'.

Then, width is given as;

W = L-2

Area = 35 square feet

A = LW = 35

Put the value of W

L(L-2) = 35

L² -2L - 35 = 0

L² -2L - 35 =0

(L-7)(L+5) = 0

L > 0 so, L=7 is solution

Thus, the length of the rectangle is found as 7 feet.

To know more about the rectangle, here

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The correct question is-

A rectangle is drawn so that the width is 2 feet shorter than the length. the area of the rectangle is 35 square feet. find the length of the rectangle.