SOLUTION: If the Perimeter of a rectangle is 40 and the diagonal is 12 find the area.

Algebra.Com
Question 209995: If the Perimeter of a rectangle is 40 and the diagonal is 12 find the area.
Answer by Tanzem(4)   (Show Source): You can put this solution on YOUR website!
2(l+b)=40
l+b=20 (squaring both the sides)
l2+b2+lb=400....1
Now diagonal= 12
its right angle triangle.
l2+b2= 144......2
substituting 2 in 1 we get
144+lb=400
lb=256 that is area

RELATED QUESTIONS

The perimeter of a rectangle is 16, and its diagonal is square root of 40. Find its... (answered by Photonjohn)
find the sides of a rectangle whose perimeter is 40 and diagonal is... (answered by unlockmath,mananth)
If the diagonal of a rectangle is 15 and the perimeter of the rectangle is 42, what is... (answered by Fombitz)
find the area of a rectangle whose diagonal is 13 inches and width is 12... (answered by Seutip,MathTherapy)
the diagonal of a rectangle is 15cm, and the perimeter is 38cm. what is the... (answered by Alan3354,MathLover1,ikleyn,MathTherapy)
Find the area of a rectangle if the height is 10 and the diagonal is... (answered by nerdybill)
What is the area of a rectangle whose perimeter is 92 and the diagonal of... (answered by josgarithmetic,ikleyn)
The diagonal of a rectangle is 10cm and the area of the rectangle is 22 cm^2. Find the... (answered by cleomenius)
The diagonal of a rectangle is 10cm and the area of the rectangle is 22 cm^2. Find the... (answered by cleomenius)