# 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