SOLUTION: How do I solve this? A rectangle with diagonals of length 20 cm has sides in the ratio 2 : 1. Find the: a perimeter b area of the rectangle. I know the answer but not how

Algebra.Com
Question 951465: How do I solve this?
A rectangle with diagonals of length 20 cm has sides in the ratio 2 : 1. Find the:
a perimeter
b area of the rectangle.
I know the answer but not how to find it.
Please help.

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

A rectangle with diagonals of length has sides in the ratio .
diagonal divide a rectangle in two right-angle triangles
so, if sides of a rectangle are and then we can write equation

since , we have



since sides in the ratio , we have
=>..substitute in eq. above
.......solve for






=>=>

Find the:
a) perimeter





b) area of the rectangle.




RELATED QUESTIONS

A rectangle with diagonals of length 20 cm has sides in the ratio 2 : 1. Find the... (answered by checkley77)
A rectangle with diagonals of length 20 cm has sides in the ratio 2 : 1 what is the area... (answered by checkley77)
Can you please help me out with this sum, i'm a little confused on how to do it...thank... (answered by math_tutor2020,math_helper)
A rectangle has sides of length 8 cm and 3 cm. Find the length of its... (answered by rfer)
1. A parallelogram has sides 15 cm and 25 cm and their includeded angle is 74 degrees a. (answered by CubeyThePenguin)
perimeter of a triangle is 108 cm,its sides are in ratio 2:3:4,find its area? one... (answered by ikdeep)
Draw a rectangle of perimeter 30 cm and lengths of sides in the ratio 1 :... (answered by MathLover1)
Please help, A rectangle with diagnols 20cm has sides in the ratio 2:1. Find the: a)... (answered by rothauserc)
The sides of a rectangle are in the ratio 4:7. If its length is 31.5 in., find the width, (answered by josgarithmetic,MathTherapy)