An electrician plans to install solar panels on a rectangular section of roof with an area of 180 m². The width of this section of roof is 7 1/5 m across. What is the length of this section of roof? (m)
Answer (1)
To find the length of the rectangular section of the roof, you can use the formula for the area of a rectangle, which is:
Area = Length × Width
We are given:
The area of the section of the roof: 180 m 2
The width of the section of the roof: 7 5 1 m
First, we need to convert the mixed number 7 5 1 to an improper fraction. The mixed number 7 5 1 can be written as:
7 5 1 = 5 36
Now, we use the formula for the area of a rectangle to solve for the length:
180 = Length × 5 36
To find the length, we can multiply both sides of the equation by the reciprocal of 5 36 , which is 36 5 :
Length = 180 × 36 5
Calculating this gives:
Length = 36 180 × 5
Length = 36 900
Length = 25 m
Therefore, the length of this section of the roof is 25 m .
