Goby33
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Melanie's room measures 10 ft by 12 ft. Her rug covers 90 ft². Explain how to determine the percent of floor covered by the rug.​

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DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

Area of floor is ;

[tex]{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:10 \times 12[/tex]

[tex]{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:120 \: ft {}^{2} [/tex]

Area covered by rug is ;

[tex]{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:90 \: ft {}^{2} [/tex]

So, the percentage of floor covered by rug is ~

[tex]{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{90}{120} \times 100[/tex]

[tex]{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{3}{4} \times 100[/tex]

[tex]{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:3 \times 25[/tex]

[tex]{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:75 \%[/tex]

The percentage of the room covered by the rug is 75%

What is a rectangle?

A rectangle is a 2-dimensional quadrilateral with four right angles which add up to 360 degrees.  A rectangle has two diagonals of equal length which bisect each other.

Area of a rectangle = length x width

10 x 12 = 120 ft square

What is the percentage of the floor covered by the rug?

Percent = (area the rug covers / area of the floor) x 100

= (90 / 120) x 100 = 75%

To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

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