Question

Mr. Crow, the head groundskeeper at High Tech Middle School, mows the lawn along the side of the gym. The lawn is rectangular, and the length is 5 feet more than twice the width. The perimeter of the lawn is 250 feet. Homework Help ✎
Use the 5-D Process to find the dimensions of the lawn.

Use the dimensions you calculated in part (a) to find the area of the lawn.

What are the answers and how do i solve it thank you

Answer 1

Answer:

Dimensions, Length = 85 feet and Width = 40 feet

Area of lawn = 3400 $feet^2$

Step-by-step explanation:

Given: Lawn is rectangular in shape

          Length of lawn is 5 feet more than twice its breath/width

           Perimeter of Lawn = 250 feet

To find: (a) Length and width of lawn

             (b) Area of Lawn

First let the a variable for width/breadth. Say, Width = b.

So, the length of lawn = 2b + 5

Perimeter of Rectangle = 2 × ( length + width )

Now, substitue given values in this formula

∴ Perimeter of Lawn = 2 × ( 2b + 5 + b )

$250 = 2\times{(2b+b+5)}\\250= 2\times{(3b+5)}\\3b+5 = \frac{250}{2}\\3b = 125 -5\\3b = 120\\b=\frac{120}{3}\\b=40$

∴width = 40 feet

⇒ length = 85 feet

Now we find are of lawn using formula of area of rectangle

Area of lawn = length × width

                     = 85 × 40

                     = 3400 $feet^2$

Dimensions, Length = 85 feet and Width = 40 feet

Area of lawn = 3400 $feet^2$