A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #15/8 #, #3/5 #, and #7 #, respectively. What is the rectangle's area?
1 Answer
The area of the rectangle is 12.46 square units
Explanation:
The area of the rectangle is the product of the lengths of two sides.
One side is given as 7; the other side is B, the length of one leg of the right triangle.
So Area equals 7 times B
First find B
The Pythagorean Theorem for this triangle is
where A is the hypotenuse and C is one of the legs
Sub in the numerical values and solve for B.
. .
1) Clear the parentheses by squaring the fractions
2) Subtract
3) Give the fractions a common denominator
4) Find the square roots of both sides
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Now you can find the Area.
It is B
Answer:
The area of the rectangle is 12.46 square units