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# A trapezoid ABCD is formed by adding the isosceles right triangle BCE

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Math Expert
Joined: 02 Sep 2009
Posts: 42571

Kudos [?]: 135380 [0], given: 12691

A trapezoid ABCD is formed by adding the isosceles right triangle BCE [#permalink]

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02 Nov 2017, 22:13
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96% (01:05) correct 4% (01:18) wrong based on 28 sessions

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A trapezoid ABCD is formed by adding the isosceles right triangle BCE with base 5 inches to the rectangle ABED, where DE is t inches. What is the area of the trapezoid in square inches?

(A) 5t + 12.5
(B) 5t + 25
(C) 2.5t + 12.5
(D) (t + 5)^2
(E) t^2 + 25

[Reveal] Spoiler:
Attachment:

2017-11-03_1010.png [ 6.55 KiB | Viewed 624 times ]
[Reveal] Spoiler: OA

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Re: A trapezoid ABCD is formed by adding the isosceles right triangle BCE [#permalink]

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02 Nov 2017, 23:35

Since we are given the isosceles right angled triangle, the base = height(which is 5 inches)
We have been given the rectangle to have a base DE = t inches, which makes the area
of the rectangle as 5t inches.

Also, the area of the triangle will be $$\frac{1}{2}*5*5 = 12.5$$

The area of the trapezoid will be 5t + 12.5 square inches(Option A)
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Kudos [?]: 745 [0], given: 19

Re: A trapezoid ABCD is formed by adding the isosceles right triangle BCE   [#permalink] 02 Nov 2017, 23:35
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