Question

1. the larson family are planning their new house. it is going to be 25 ft on one side and have a garage that is 15 ft wide, but they have not decided on the length of the house yet. a. if the total area of the house + garage is limited to 1200 square feet, how long can the house be?

Explanation:

Step1: Calculate the width of the house - garage complex

The width of the house - garage complex is the sum of the width of the house side and the width of the garage. So, the total width $w=25 + 15=40$ ft.

Step2: Use the area formula to find the length

The area formula for a rectangle is $A = l\times w$, where $A$ is the area, $l$ is the length, and $w$ is the width. We know $A = 1200$ square - feet and $w = 40$ ft. Rearranging the formula for $l$, we get $l=\frac{A}{w}$.
Substitute $A = 1200$ and $w = 40$ into the formula: $l=\frac{1200}{40}=30$ ft.

Answer:

30 ft