Question

describe how the given changes to the dimensions of the figure will affect its perimeter or area. what happens to the area of a triangle with base 10 units and height 9 units when its dimensions are decreased by 3 units? > move an answer into each space provided. the area of the resulting triangle will decrease by 3 by 24 by a factor of $\frac{1}{3}$ by a factor of $\frac{1}{24}$

Explanation:

Step1: Calculate original area

The formula for the area of a triangle is $A=\frac{1}{2}bh$. Given $b = 10$ and $h=9$, the original area $A_1=\frac{1}{2}\times10\times9 = 45$ square - units.

Step2: Calculate new dimensions

The new base $b_2=10 - 3=7$ units and the new height $h_2=9 - 3 = 6$ units.

Step3: Calculate new area

Using the area formula again, the new area $A_2=\frac{1}{2}\times7\times6=21$ square - units.

Step4: Find the change in area

The change in area is $A_1 - A_2=45-21 = 24$ square - units. So the area of the resulting triangle will decrease by 24.

Answer:

by 24