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.

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 =

                                    =

                                    =

Since it is divided into 5 equal part

So, area of each part of red rectangle  =

                                                                =

Length of green rectangle = 16 feet

Width of green rectangle = 6 feet

So, area of rectangle =

                                    =

                                    =

Since it is divided into 8 equal part

So, area of each part of green rectangle  =

                                                                =

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 =

                                                                                                     = 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 =

                                                                                                     = 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.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

34

step-by-step explanation: