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

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Bunuel
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A trapezoid ABCD is formed by adding the isosceles right triangle BCE [#permalink] New post   02 Nov 2017, 23:13
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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

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Re: A trapezoid ABCD is formed by adding the isosceles right triangle BCE [#permalink] New post   03 Nov 2017, 00:35
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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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Re: A trapezoid ABCD is formed by adding the isosceles right triangle BCE [#permalink] New post   28 Aug 2019, 09:57
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Hello
Nice one. Just one question: why BC could not be the base of the triangle?
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Re: A trapezoid ABCD is formed by adding the isosceles right triangle BCE [#permalink] New post   28 Aug 2019, 10:48
lmangold wrote:
Hello
Nice one. Just one question: why BC could not be the base of the triangle?

Its one of the properties of Rt angled isosceles triangle.....
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Re: A trapezoid ABCD is formed by adding the isosceles right triangle BCE [#permalink] New post   02 Sep 2019, 19:15
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Bunuel wrote:

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

Show Spoiler
Attachment:
2017-11-03_1010.png


Since BEC is an isosceles triangle, we know that EC = BC = 5, and we have:

area = [(t + 5 + t) * 5]/2

area = (10t + 25)/2

area = 5t + 12.5

Answer: A
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Re: A trapezoid ABCD is formed by adding the isosceles right triangle BCE [#permalink] New post   15 May 2021, 19:33
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Re: A trapezoid ABCD is formed by adding the isosceles right triangle BCE [#permalink]
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