MATH SOLVE

7 months ago

Q:
# The picture shows a red rectangle split into 5 equal parts and a green rectangle split into 8 equal parts. Drag figures to each box so that their total area is equal to the number given.

Accepted Solution

A:

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 feetWidth of red rectangle = 5 feetSo, 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 feetWidth of green rectangle = 6 feetSo, 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 rectangleSince 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] = 6Thus 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] = 8Thus 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 = 25So, area of 3 parts of red rectangle = 25*3=75Area of each part of green rectangle = 12So, area of 4 parts of green rectangle = 12*4=48Since 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.