Question

practical math
find the missing measurement. round your answer to the nearest tenth. do not
forget about units in your answer!
7.) (4 points)
area = 84 in²
8.) (5 points)
area = 27.1 cm²

Explanation:

Step1: Recall the formula for the area of a rectangle

The formula for the area of a rectangle is \(A = l\times w\), where \(A\) is the area, \(l\) is the length, and \(w\) is the width. Given \(A = 84\) and \(l=12\), we can solve for \(w\).
Using the formula \(w=\frac{A}{l}\), substitute \(A = 84\) and \(l = 12\) into the formula: \(w=\frac{84}{12}=7.0\)

Step2: Recall the formula for the area of a triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times b\times h\), where \(A\) is the area, \(b\) is the base, and \(h\) is the height. Given \(A = 27.1\) and \(h = 6.6\), we can solve for \(b\).
First, rewrite the formula for \(b\): \(b=\frac{2A}{h}\)
Substitute \(A = 27.1\) and \(h = 6.6\) into the formula: \(b=\frac{2\times27.1}{6.6}=\frac{54.2}{6.6}\approx8.2\)

Answer:

1. \(7.0\)
2. \(8.2\)