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Alisiya [41]
3 years ago
10

6. Multiselect A square room has side lengths

Mathematics
1 answer:
Scilla [17]3 years ago
3 0

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 <u>9·x²</u>

The area of the floor is <u>36·x⁶</u>

B. The number of tiles needed to cover the floor <u>324 tiles</u>

<u />

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 = <u>324 tiles</u>

Learn more about multiplying side lengths to find area here:

brainly.com/question/13048427

brainly.com/question/3143510

brainly.com/question/11979926

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