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The difference of the areas of square XSWZ and square QEZA is 273 square units. Find the area of quadrilateral XSEQ (shaded yellow).

 

 Jun 11, 2020
 #1
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The difference between the areas of square XSWZ and square QEZA is 273 square units. Find the area of quadrilateral XSEQ (shaded yellow).

 

Let the area of the square QEZA be 1 u², then the area of the square XSWZ is 274 u².

 

Side QE = EZ = 1

 

Side XZ = XS = sqrt( 1 + 273 ) = 16.553

 

You can do the rest. smiley

 Jun 11, 2020
 #2
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Let AZ = a, ZW = b.

 

We know that \(b^2 - a^2 = 273\)

 

The yellow area, using the formula for area of trapezoid, is \(\dfrac{(a + b)(b - a)}2\).

 

You can continue from here. This is just one step away from the answer.

 Jun 11, 2020

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