A trapezoid has an area of 42 square miles. One base is 4 miles long. The height measures 6 miles. What is the length of the oth

Question

Vika [28.1K]

3 years ago

11

A trapezoid has an area of 42 square miles. One base is 4 miles long. The height measures 6 miles. What is the length of the oth

er base?

Mathematics

1 answer:

loris [4] · Answer 1 · 2022-02-15T22:29:47+03:00

The length of other base of trapezoid is 10 miles

Step-by-step explanation:

The formula for area of trapezoid is:

$A=\frac{h}{2}(b_1+b_2)$

We know that

A = 42 square miles

b_1 = 4 miles

h = 6 miles

Putting the values

$42=\frac{6}{2}(4+b_2)\\42=3(4+b_2)\\42=12+3b_2\\Subtracting\ 12\ from\ both\ sides\\42-12=12+3b_2-12\\3b_2=30\\Dividing\ both\ sides\ by\ 3\\\frac{3b_2}{3}=\frac{30}{3}\\b_2=10\ miles$

The length of other base of trapezoid is 10 miles

Keywords: Area of trapezoid

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