Question

instructions: solve each of the following problems. show your equ solutions.

1. determine the area of mhcr. show your solution and your thinki

Explanation:

Step1: Identify the shape (trapezoid)

MHCR is a trapezoid with two parallel sides (bases) and a height. The formula for the area of a trapezoid is $A = \frac{(b_1 + b_2)}{2} \times h$, where $b_1$ and $b_2$ are the lengths of the two parallel sides, and $h$ is the height (distance between them).

Step2: Find the lengths of the bases

• For the top base (HC): From the graph, H is at $x=-2$, C is at $x = 4$. So length $b_1=4 - (-2)=6$.
• For the bottom base (MR): M is at $x=-4$, R is at $x = 6$. So length $b_2=6 - (-4)=10$.

Step3: Find the height

The height is the vertical distance between the two parallel sides. Looking at the y - coordinates, the top base is at $y = 2$ and the bottom base is at $y=-1$. So height $h=2-(-1)=3$.

Step4: Calculate the area

Using the trapezoid area formula: $A=\frac{(b_1 + b_2)}{2}\times h=\frac{(6 + 10)}{2}\times3=\frac{16}{2}\times3 = 8\times3=24$.

Answer:

The area of MHCR is 24.