SOLUTION: please help me solve this question:-ABCD is a rectangle in which AB=(4x+3)cm and BC=(3x-2)cm. PQR is a triangle in which PQ=5xcm QR=4x cm and PQR=90degree the area of rectangle

Question 234099: please help me solve this question:-ABCD is a rectangle in which AB=(4x+3)cm and BC=(3x-2)cm.
PQR is a triangle in which PQ=5xcm QR=4x cm and PQR=90degree
the area of rectangle ABCD is equal to the area of the triangle PQR
(i)form an equation in x and show that it reduces to 2x square+x-6=0
(ii)solve the equation to find the value of x
(iii)find the length of PQ
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The area of the rectangle is:

The area of the triangle is:

so...
Subtract from both sides.
Solve by factoring.

or so that...
or Discard the negative solution as lengths are positive.

cm.
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