The area of a trapezoid is given by A=(1)/(2)(b1+b2) h, where b1 and b2 are the lengths of the t

Name: Problem 85, Chapter 1: Beginning and Intermediate Algebra
Uploaded: 2021-03-18T16:49:47-08:00
Duration: 1 min 16 s
Channel: Julie Silva
Description: The area of a trapezoid is given by A=(1)/(2)(b1+b2) h, where b1 and b2 are the lengths of the two parallel sides and h is the height. A window is in the shape of a trapezoid. Find the area of the trapezoid with dimensions shown in the figure. (FIGURES CAN'T COPY)

step 1 In this problem, we're given the formula to help us find the area of a trapezoid. It's a equals

Question

The area of a trapezoid is given by $A=\frac{1}{2}\left(b_{1}+b_{2}\right) h,$ where $b_{1}$ and $b_{2}$ are the lengths of the two parallel sides and $h$ is the height. A window is in the shape of a trapezoid. Find the area of the trapezoid with dimensions shown in the figure. (FIGURES CAN'T COPY)

   The area of a trapezoid is given by $A=\frac{1}{2}\left(b_{1}+b_{2}\right) h,$ where $b_{1}$ and $b_{2}$ are the lengths of the two parallel sides and $h$ is the height. A window is in the shape of a trapezoid. Find the area of the trapezoid with dimensions shown in the figure.
(FIGURES CAN'T COPY)

Beginning and Intermediate Algebra

Julie Miller,Molly… 3rd Edition

Chapter 1, Problem 85

Instant Answer

Solved by Expert Julie Silva

03/18/2021

Step 1

The lengths of the two parallel sides are $b_{1}=8$ ft and $b_{2}=6$ ft, and the height is $h=3$ ft. Show more…

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The area of a trapezoid is given by $A=\frac{1}{2}\left(b_{1}+b_{2}\right) h,$ where $b_{1}$ and $b_{2}$ are the lengths of the two parallel sides and $h$ is the height. A window is in the shape of a trapezoid. Find the area of the trapezoid with dimensions shown in the figure. (FIGURES CAN'T COPY)

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Key Concepts

Trapezoid

A trapezoid is a quadrilateral with one pair of parallel sides. This property distinguishes it from other quadrilaterals and is crucial for applying specific geometric formulas to calculate its area.

Area Calculation

The area of a trapezoid is determined using the formula A = 1/2(b1 + b2)h. This formula averages the lengths of the two parallel sides and multiplies by the height, summarizing how the shape's dimensions contribute to its overall area.

Parallel Sides

In a trapezoid, the two bases are the sides that are parallel to each other. Their lengths are summed and averaged to factor into the area calculation, reflecting the shape's geometry.

Height

The height of a trapezoid is the perpendicular distance between its two parallel bases. This measurement is essential because it scales the averaged base length to produce the final area.

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