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ABCD is a quadrilateral, with AD parallel to BC (see figure). E is a p
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03 Feb 2023, 11:43
03 Feb 2023, 11:43
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Question Stats:
75% (00:59) correct
25% (05:29) wrong based on 4 sessions
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ABCD is a quadrilateral, with AD parallel to BC (see figure). E is a point between A and D such that BE represents the height of ABCD and E is the midpoint of AD. If the area of triangle ABE is 12.5 square inches, what is the area of ABCD?
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35
Re: ABCD is a quadrilateral, with AD parallel to BC (see figure). E is a p
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20 Feb 2023, 08:06
20 Feb 2023, 08:06
Expert Reply
OE
If E is the midpoint of AD, then AE = ED. Set x as the length of each AE and ED. You can determine the length of x by using what you know about the area of triangle ABE:
Area=12.5=5x/2
x=5
Therefore, the length of AD is 2x, or 10. Because AD is parallel to BC, the shape ABCD is a trapezoid. To find the area of the trapezoid, use the formula:
A=b1+b2/2*h=4+10/2*5=35
If E is the midpoint of AD, then AE = ED. Set x as the length of each AE and ED. You can determine the length of x by using what you know about the area of triangle ABE:
Area=12.5=5x/2
x=5
Therefore, the length of AD is 2x, or 10. Because AD is parallel to BC, the shape ABCD is a trapezoid. To find the area of the trapezoid, use the formula:
A=b1+b2/2*h=4+10/2*5=35
gmatclubot
Re: ABCD is a quadrilateral, with AD parallel to BC (see figure). E is a p [#permalink]
20 Feb 2023, 08:06
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