Question

6. Multiselect A square room has side lengths

Answer 1

The area of a square and a rectangle is given by multiplying the lengths of the sides of the square

A. The correct statements are;

The area of one square tiles 9·x²

The area of the floor is 36·x⁶

B. The number of tiles needed to cover the floor 324 tiles

The reason the above values are correct are as follows:

A. The given parameters are;

The expression that represents the side lengths of the square room = 6·x³ feet

The side lengths of the square tiles = 3·x

Required:

To select the correct expressions

Solution:

The area of one square tiles = 3·x × 3·x = 9·x²

The area of the floor = 6·x³ × 6·x³ = 36·x⁽³ ⁺ ³⁾ = 36·x⁶

B. If x = 3, we have;

$The \ number \ of \ tiles = \dfrac{Area \ of \ floor}{Area \ of \ a \ tile}$

The area of the floor, = 36×3⁶ = 26,244

The area of one tile = 9 × 3² =  81

$The \ number \ of \ tiles = \dfrac{26,244}{81} = 324$

The number of tiles needed to cover the floor = 324 tiles

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