A rectangle’s width is 2 meters shorter than its length, l. Its area is 168 square meters. Which equation can be used to find the length of the rectangle?

l(l – 2) = 168
l(l + 2) = 168
2l 2 = 168
1/2 l 2 = 168

Respuesta :

The area (A) of the triangle is the product of its length (l) and width (w). A = l x w. Since the width is 2 m shorter than the length, it may be expressed as w = l -2. The equation for area becomes,
                          A = l x (l - 2)
Substituting the known area and rearranging the equation gives,
                           l(l - 2) = 168.

The equation that can be used to find the length of the rectangle is l( l - 2 ) = 168m² .

Hence, option A) l(l – 2) = 168 is the correct answer.

What is a rectangle?

A rectangle is simply a 2-dimensional shape whose opposite sides are euqal and parallel to each other and all four angles are at right angles.

The area of a rectangle is expressed as;

A = l × w

Where l is deimension of the length and w is the dimension of the width.

Given the data in the question;

  • Dimension of the length of the rectangle = l
  • Dimension of the width of the rectangle = l-2
  • Area of the rectangle A = 168m²

We substitute our values into the expression above.

A = l × w

168m² = l × ( l - 2 )

l( l - 2 ) = 168m²

The equation that can be used to find the length of the rectangle is l( l - 2 ) = 168m² .

Hence, option A) l(l – 2) = 168 is the correct answer.

Learn more about area of rectangle here: https://brainly.com/question/20693059

#SPJ5