SOLUTION: The perimeter of a rectangle is 100 cm and its diagonal is 32 cm find its area.
Algebra.Com
Question 969377: The perimeter of a rectangle is 100 cm and its diagonal is 32 cm find its area.
Answer by satyareddy22(84) (Show Source): You can put this solution on YOUR website!
Let l be length,b be breadth
perimeter of a rectangle = 100 cm
l+b=50cm-----------(1)
diagonal = 32 cm
By Pythagorean theorem l^2+b^2=32^2=1024-----(2)
Squaring eq (1)
=>(l+b)^2=50^2
=>l^2+b^2 +2lb=2500
from eq (2)
1024+2lb=2500
2lb=2500-1024=1476
lb=1476/2=738
lb=738,which is area of rectangle(lb)
RELATED QUESTIONS
The perimeter of a rectangle is 100 cm while its diagonal is 32 cm. Its area... (answered by solver91311)
A rectangle has area 6cm^2 and diagonal of 2 root5 cm. What is its... (answered by josgarithmetic)
The diagonal of a rectangle is 5 cm and one of side is 4 cm. Find its area
(answered by JulietG)
The length of a rectangle is 4 cm longer than its width.
If the perimeter of the... (answered by jorel1380)
the perimeter of a rectangle is 60 cm and its area is 216 sq cm. Find its... (answered by solver91311)
The area of a rectangle is 100 square cm. If a square is built using a diagonal of this... (answered by stanbon,mananth)
THE LENGTH OF A RECTANGLE IS 12 CM GREATER THAN ITS WIDTH. IF THE PERIMETER OF THE... (answered by josgarithmetic)
The area of the rectangle is 100 square cm. If a square built using a diagonal of this... (answered by mananth)
A rectangle is 2 cm longer than it is wide, and its diagonal is 10 cm long. Find the... (answered by ikleyn)