Question

1. mr. goddard is going to place a layer of mulch in his garden. his blueprint shows the garden below: if the blueprint has a scale factor of 1 cm:2.5 feet, then how many square feet of mulch does mr. goddard need?

Explanation:

Step1: Find actual dimensions

Lengths: $5\times2.5 = 12.5$ feet, $7\times2.5 = 17.5$ feet, height $3\times2.5 = 7.5$ feet.

Step2: Calculate area of trapezoid

$A=\frac{(a + b)h}{2}=\frac{(12.5+17.5)\times7.5}{2}=\frac{30\times7.5}{2}=112.5$ square - feet.

Answer:

$112.5$ square feet