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.

43

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.