Question

The length of a rectangle is 3 more than 3 times it’s width. The perimeter is 118 meters. What are the length and width?

Answer 1

The width and length of the rectangle are 14 meters and 45 meters, respectively, calculated by using the given perimeter and the relationship between length and width.

Step-by-step explanation:

To solve for the length and width of a rectangle where the length (L) is 3 more than 3 times the width (W), and the perimeter (P) is 118 meters, we can set up the following equations based on the perimeter formula P = 2L + 2W:

Let W be the width of the rectangle.

Then L = 3W + 3 as the length is 3 more than 3 times its width.

The perimeter P is given as 118 meters, so we have the equation 118 = 2(3W + 3) + 2W.

Simplifying this equation, we get 118 = 8W + 6.

Subtract 6 from both sides to get 112 = 8W.

Divide both sides by 8 to find the width: W = 14 meters.

Now substitute the value of W into the equation for L: L = 3(14) + 3 = 45 meters.

Thus, the width of the rectangle is 14 meters, and the length is 45 meters.

Answer 2

L=length

w=width

rectangle,L=3+3w

perimeter,P=2L+2w

P=118merers

118=2L+2w

118=2(3+3w)+2w

118=6+6w+2w

118=6+8w

8w=112

w=14meters

L=45meters