Question

1. a triangle is shown below. if the image is dilated by a scale factor of 3.5, then what is the perimeter of the new triangle? 2. 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 new side - lengths of triangle

$3.5\times4 = 14$m, $3.5\times3=10.5$m, $3.5\times5 = 17.5$m

Step2: Calculate perimeter

$14 + 10.5+17.5=42$m

Step3: For trapezoid, convert dimensions to feet

$5\times2.5 = 12.5$ft, $3\times2.5 = 7.5$ft, $7\times2.5 = 17.5$ft

Step4: Calculate area of trapezoid

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

Answer:

1. 42 m
2. 112.5 square feet