Question

Find and simplify an expression for the area of five rows of x squares with side lengths of x centimeters.

Answer 1

`5x^(3)` centimeter square.

Explanation:

We are given that,

Number of rows having squares = 5

Length of each square = x cm

As, we know,

Area of a square =
`side^(2)`

Thus, area of 1 square =
`x^(2)`

As there are x squares in each row, we get,

Area of 'x' number of squares =
`x* x^(2)` =
`x^(3)`

Also, as there are 5 rows.

Thus, total area of 5 rows =
`5* x^(3)` =
`5x^(3)` centimeter square.

Hence, the required area is
`5x^(3)` centimeter square.