Question

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?
*please put how you got that in an equation. Thank you :)*

Answer 1

Let s be the length of a section for plants.
Because opposite sides in a rectangle are equal we can state that 7 + 5s = 4 + 6s
Subtract 5s and 4 from both sides to get 7 - 4 = 6s - 5s which simplifies to 3 = s
The length of the wall = 7 + 5 x 3 = 22 ft

Check on opposite side: 4 + 6 x 3 = 22 ft