Answer:
we require 6 parts of green rectangle to make area of 72 square feet.
we require 8 parts of red rectangle to make area of 200 square feet.
we requires 3 parts of red rectangle and 4 parts of green rectangle to make an area of 123 square feet.
Step-by-step explanation:
Length of red rectangle = 25 feet
Width of red rectangle = 5 feet
So, area of rectangle = [tex]Length\times Width[/tex]
= [tex]25\times 5[/tex]
= [tex]125feet^2[/tex]
Since it is divided into 5 equal part
So, area of each part of red rectangle = [tex]\frac{125}{5}[/tex]
= [tex]25feet^2[/tex]
Length of green rectangle = 16 feet
Width of green rectangle = 6 feet
So, area of rectangle = [tex]Length\times Width[/tex]
= [tex]16\times 6[/tex]
= [tex]96feet^2[/tex]
Since it is divided into 8 equal part
So, area of each part of green rectangle = [tex]\frac{96}{8}[/tex]
= [tex]12feet^2[/tex]
Now , we are required to make area of 72 square feet using the parts of red rectangle and green rectangle
Since 1 part of green rectangle is 12 square feet
So, part of green rectangle required to make 72 square feet = [tex]\frac{72}{12}[/tex]
= 6
Thus we require 6 parts of green rectangle to make area of 72 square feet.
Now , we are required to make area of 200 square feet using the parts of red rectangle and green rectangle.
Since 1 part of red rectangle is 25 square feet
So, part of green rectangle required to make 200 square feet = [tex]\frac{200}{25}[/tex]
= 8
Thus we require 8 parts of red rectangle to make area of 200 square feet.
Now , we are required to make area of 123 square feet using the parts of red rectangle and green rectangle.
Area of each part of red rectangle = 25
So, area of 3 parts of red rectangle = 25*3=75
Area of each part of green rectangle = 12
So, area of 4 parts of green rectangle = 12*4=48
Since 75+48=123 square feet.
So, we requires 3 parts of red rectangle and 4 parts of green rectangle to make an area of 123 square feet.
