Question

75 points, urgent, answer honestly please.

An architect is designing a rectangular greenhouse. Along one wall is a 7-ft storage area and 5 sections for different kinds of plants. On the opposite wall is a 4-ft storage area and 6 sections for plants. All of the sections for plants are of equal length. What is the length of each wall?

a. Write a let-statement defining your variable.

b. Write an equation in one variable to help you find the length of each wall.

c. Show work to solve the equation.

d. Write a sentence for your final answer.​​

Answer 1

a ) Write a let-statement defining your variable.

Let the length of each plant equal x

b ) Write an equation in one variable to help you find the length of each wall.

7 + 5x = 4 + 6x

c ) Show work to solve the equation.

Step 1: Simplify both sides of the equation.

7 − 4 = 6x − 5x

7 + −4 = 6x + −5x

(7 + −4 ) = ( 6x +−5x ) ( Combine Like Terms )

3 = x

Step 2: Flip the equation.

x = 3

d ) Write a sentence for your final answer.

As a result, one side's length is:

7 + 5 ( 3 ) = 7 + 15 = 22 ft

Consequently, each wall is 22 ft. ​​

Hope this helps! :)