Mrs. Deaton’s 6th grade class is creating a mural for the school entryway. Each student is creating a square with a side length of 10 inches that will be joined together to form this mural. The mural itself will be in the shape of a square with five of the student’s squares along each side. What is the total area of the mural in inches?

The total area of the mural is 2,500 square inches

Step-by-step explanation:

we know that

The mural is in the shape of a square

The length side of the square mural is equal to the length of five student’s squares

The length side of each student's square is 10 inches

so

The length side of the square mural is 10(5)=50 inches

Remember that

The area of a square is given by the formula

where

b is the length side of the square

we have

substitute

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it