(a) Decompose this trapezoid into shapes that we know how to find the area of, i.e. triangles, rectangles, or parallelograms.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 29E
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(2/ Consider the trapezoid below.
le Compare the shaded aeas (e
a
9.
(a) Decompose this trapezoid into shapes that we know how to find the area of, i.e. triangles,
(Yo rectangles, or parallelograms.
right
(b) Use the decomposition you found above to express the area of the trapezoid in terms of
a, b, and h.
(c) Make two copies of this parallelogram and put those two copies together in a way that
creates a shape we know how to find the area of.
(d) Use the shape you created above to express the area of the trapezoid in terms of a, b,
and h.
(e) Are the formulas you found in part 2b and part 2d equivalent?
Transcribed Image Text:(2/ Consider the trapezoid below. le Compare the shaded aeas (e a 9. (a) Decompose this trapezoid into shapes that we know how to find the area of, i.e. triangles, (Yo rectangles, or parallelograms. right (b) Use the decomposition you found above to express the area of the trapezoid in terms of a, b, and h. (c) Make two copies of this parallelogram and put those two copies together in a way that creates a shape we know how to find the area of. (d) Use the shape you created above to express the area of the trapezoid in terms of a, b, and h. (e) Are the formulas you found in part 2b and part 2d equivalent?
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