Question

A vertical shelving unit consists of five equal-sized square shelves arranged in a column to form a rectangle. The total area of all five shelves is 500 square inches. What is the length, in inches, of the shelving unit?

Answer 1

Answer:

50 inches

Step-by-step explanation:

Given that

5 equal sized square shelves arranged in a column.

Total area of five shelves = 500 sq inches

To find:

Length of shelving unit = ?

Solution:

First of all, let us find the area of each shelving unit.

Area of each shelving unit = Total area of five shelved divided by 5

Area of each shelving unit = 500 $\div$ 5 = 100 sq units.

Each shelving unit is of square shape and area of a square is given as:

Area = $Side^2$

100 = $Side^2$

So, side of shelve = 10 inches

Now, there are 5 squares in the shelving unit.

So, length of shelving unit = $10 \times 5 = \bold{50 \ inches}$