SOLUTION: suppose you know the base of a rectangle has a length of 4 inches and a diagonal has a length of 5 inches. Find the area of the rectangle

Algebra ->  Pythagorean-theorem -> SOLUTION: suppose you know the base of a rectangle has a length of 4 inches and a diagonal has a length of 5 inches. Find the area of the rectangle      Log On


   

Question 172190: suppose you know the base of a rectangle has a length of 4 inches and a diagonal has a length of 5 inches. Find the area of the rectangle
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Given the following:

We know, A%5BR%5D=L%2AW
But by Pyth Theorem:
5%5E2=W%5E2%2B4%5E2
W%5E2=5%5E2-4%5E2=25-16=9
W=sqrt%289%29=3in
Therefore,
A=4%2A3=highlight%2812sqin%29
thank you,
Jojo