Question

when building a house, sabrina wants to know how much rain will run off of the roof in a heavy rainstorm. the first step in figuring this out is to calculate the area of the \footprint\ of the roof. if the corners of the roof are at the coordinates shown, what is the area of the roofs footprint? enter the unknown segment length(s), then calculate the area of the polygon. area of the rectangle: square feet

Explanation:

Step1: Identify length and width

The length of the rectangle can be found by looking at the x - coordinates of two non - adjacent vertices. The x - coordinate of G is 0 and of Q is 29, so the length $l = 29$. The width can be found by looking at the y - coordinates of two non - adjacent vertices. The y - coordinate of Q is 49 and of W is - 1, so the width $w=49-( - 1)=50$.

Step2: Use area formula

The area formula for a rectangle is $A = l\times w$. Substitute $l = 29$ and $w = 50$ into the formula: $A=29\times50$.

Step3: Calculate the area

$29\times50 = 1450$.

Answer:

1450