Question

1. supplies a new piece is cut from one corner. what is the area of the land? 11. home construction you have a house lot that is 100 ft × 150 ft. you plan to build a house that is 30 ft × 50 ft. how much of the land remains for the yard?

Explanation:

Step1: Calculate the area of the house lot

The area of a rectangle is given by $A = l\times w$. The house - lot has dimensions $100$ ft $\times150$ ft. So the area of the house lot $A_{lot}=100\times150 = 15000$ square - feet.

Step2: Calculate the area of the house

The house has dimensions $30$ ft $\times50$ ft. So the area of the house $A_{house}=30\times50=1500$ square - feet.

Step3: Calculate the remaining area for the yard

The remaining area for the yard $A = A_{lot}-A_{house}$. Substituting the values, we get $A = 15000 - 1500=13500$ square - feet.

Answer:

13500 square feet