Dana buys a plot of land that is 30 yards by 50 yards to build a new house. Dana’s blueprint for the new house shows that the house will cover 900 square yards of land. What percent of Dana’s lot will not be covered by the house?

Solution: Convert the lot dimensions to feet

35 yards ×3 feet1 yard=105 feet

50 yards ×3 feet1 yard=150 feet

So the area of the entire lot is 105 feet×150 feet=15,750 square feet.

Therefore the percent of the lot NOT covered by Dana's house will be

15,750−160015,750≈0.898≈90%.

Solution: Convert the house area to square yards

Step-by-step explanation:

1 yard=3 feet,

so

1 square yard=3 feet×3 feet=9 square feet.

Therefore, Dana's house covers

1600 square feet×1 square yard9 square feet≈177.8 square yards.

On the other hand, Dana's lot is 35 yards×50 yards=1,750 yards.

The percentage of Dana's lot NOT covered by her house is:

1,750−177.81,750≈0.898≈90%

good luck on your studies! : )

david edward.