# The area of a triangular plot of land is 52 yds2 .  The base is 5 yds longer than the height.   Find the base and the height.

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The area of a triangular plot of land is 52 yds.  The base is 5 yds longer than the height.   Find the base and the height.

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Step 1

Given that

Area of triangular plot of land = 52 yds2

Assume that height of triangular plot = x

So base of triangular plot = x+5

Step 2

Area of triangular plot = base*height/2 help_outlineImage Transcriptionclose1 Area = xb x h 2 1 x (x 5)xx 2 52 104 (x5) xx 104 x 5x -x +5x-104= 0 x13x-8x-104 = 0 x(x13)-8(x+13) 0 (x13)(x-8) 0 x =-13,8 fullscreen
Step 3

Since x=-13 is not possible as height cannot be negative, so heigh...

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### Applications of Mathematics 