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555-605 (Medium)|   Geometry|      
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Bunuel
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In the rectangle above, AB = x feet,BC = y feet, and AE = FC = 2 feet. 05 Feb 2019, 04:29
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C
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80% (01:51) correct 20% (01:42) wrong based on 30 sessions

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In the rectangle above, AB = x feet,BC = y feet, and AE = FC = 2 feet. What is the area of triangle DEF, in square feet?


A. xy/2 + 2

B. xy/2 - x - y - 2

C. xy/2 - x - y + 2

D. xy - 2x - 2y - 4

E. xy - 2x - 2y + 4

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2019-02-05_1527.png
2019-02-05_1527.png [ 12.52 KiB | Viewed 2392 times ]
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C
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In the rectangle above, AB = x feet,BC = y feet, and AE = FC = 2 feet. 05 Feb 2019, 04:55
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Length of DE = x-2
Length of DF = y-2
Area of triangle = 1/2*(x-2)*(y-2)

Answer C
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In the rectangle above, AB = x feet,BC = y feet, and AE = FC = 2 feet. 05 Feb 2019, 06:00
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Bunuel

In the rectangle above, AB = x feet,BC = y feet, and AE = FC = 2 feet. What is the area of triangle DEF, in square feet?


A. xy/2 + 2

B. xy/2 - x - y - 2

C. xy/2 - x - y + 2

D. xy - 2x - 2y - 4

E. xy - 2x - 2y + 4

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2019-02-05_1527.png
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DF= x-2
DE= y-2
area of triangle = 1/2 * ( x-2) * ( y-2)
upon solving
xy/2 - x - y + 2
IMO C
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In the rectangle above, AB = x feet,BC = y feet, and AE = FC = 2 feet. 06 Feb 2019, 19:45
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Bunuel

In the rectangle above, AB = x feet,BC = y feet, and AE = FC = 2 feet. What is the area of triangle DEF, in square feet?


A. xy/2 + 2

B. xy/2 - x - y - 2

C. xy/2 - x - y + 2

D. xy - 2x - 2y - 4

E. xy - 2x - 2y + 4

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2019-02-05_1527.png
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Side ED = y - 2 and side DF = x - 2, so the area of triangle DEF is:

(y - 2)(x - 2) x 1/2

(xy - 2x - 2y + 4) x 1/2

xy/2 - x - y + 2

Answer: C
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In the rectangle above, AB = x feet,BC = y feet, and AE = FC = 2 feet. 06 Feb 2019, 19:57
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Bunuel

In the rectangle above, AB = x feet,BC = y feet, and AE = FC = 2 feet. What is the area of triangle DEF, in square feet?


A. xy/2 + 2

B. xy/2 - x - y - 2

C. xy/2 - x - y + 2

D. xy - 2x - 2y - 4

E. xy - 2x - 2y + 4

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2019-02-05_1527.png
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So just plot the expressions for the triangle

ED =y -2
DF = x -2

Its a rectangle all angles are \(90^o\)

Area of triangle DEF = 1/2 * y-2 * x-2

xy/2 - x - y + 2
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