119k views
1 vote
the dining room is rectangular and measures 13 ft 7 in by 19 ft 11 in. find the area of the dining room floor rounded to the nearest square foot.

1 Answer

0 votes

\begin{gathered} \text{the area of a rectangular figure is given by} \\ A=b\mathrm{}h \\ \text{where b is the base and h the height. In this case, we have mixed units, then we must convert} \\ \text{feets to inches or viceversa.} \\ \text{If we choose convert fe}ets\text{ to inches, we know that} \\ 1\text{ f}eet\text{ = 12 in} \\ \text{hence, } \\ \frac{1\text{feet}}{12\text{ in}}=1 \\ \text{Therefore,} \\ 7in=7in\cdot1 \\ 7in=7in\cdot(\frac{1\text{feet}}{12\text{ in}}) \\ 7in=(7)/(12)\text{feet} \\ 7in=0.58333\text{ fe}ets \\ In\text{ the same maner, } \\ 11in=11in\cdot1 \\ 11in=11in\cdot(\frac{1\text{feet}}{12\text{ in}}) \\ 11in=(11)/(12)\text{ f}eet \\ 11in=0.91666\text{ fe}et \\ \text{Hence, the base measures} \\ 13feets7in=13+0.58333\text{ f}eets=13.5833\text{ f}eets \\ \text{and the height:} \\ 19\text{ ft 11in=19+0.91666 fe}et=19.91666\text{ fe}ets \\ \text{FINALLY, THE AREA IS } \\ A=b\mathrm{}h \\ A=(13.5833)(19.91666)\text{ fe}ets^2 \\ A=(13.5833)(19.91666)\text{ fe}ets^2 \\ A=270.53f\text{e}ets^2 \\ By\text{ rounding to the nearest square foot, one has} \\ A=271\text{fe}ets^2 \end{gathered}

User Avinash Thakur
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories