Question

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.​

Answer 1

$\huge \bf༆ Answer ༄$

Here's the solution ~

Area of floor is ;

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:10 \times 12$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:120 \: ft {}^{2}$

Area covered by rug is ;

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:90 \: ft {}^{2}$

So, the percentage of floor covered by rug is ~

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \dfrac{90}{120} \times 100$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \dfrac{3}{4} \times 100$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:3 \times 25$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:75 \%$

Answer 2

Answer:

$\huge{ = > A = L * W}$

$\huge{ = > A = 10 * 12 = 120 \: sq/ft}$

We want to find what percent the rug (given as 90 sq/ft), is of the room, 120 sq/ft

$\huge = > \frac{9}{120} \times 100 = 75\%$