Question

PLEASE HELP SHOW ALL WORK 30 POINTS

-Referenced rectangle- https://imgur.com/a/DTngtDW

A. Using the figure above, determine the area of the large rectangle.

B. Using the figure above, determine the sum of the areas of the four small rectangles.

C. Explain how the values in parts a and b are related and why.

Answer 1

A. A = 7x

B. S = x^2 +4x + 21

C. T = A + S

Explanation:

A.

• A = l*w
• A = 7x

B.

• S = A1 + A2 + A3
• S = x^2 + 4x + 21

C.

The values are related by the total area, T = L x W

L = (7+x), W = (4+x)

• T = (7+x)(4+x)
• T =x^2 + 11x + 21

Remember that total area we found? If we add the area of the big rectangle and the sum of the other (smaller) rectangles we get the total! Dont believe me?

• A + S = 7x + x^2 + 4x + 21
• A + S = T = x^2 + 11x + 21