Question

The diagonal of a rectangle is 25 in. The width is 15 in. What is the length of the rectangle? What is the area of the rectangle?

Answer 1

Answer:

Length = 20 inches

Area = 300 inches

Step-by-step explanation:

TO FIND THE LENGTH

Pythagorean Theorem: 15 squared + x squared = 25 squared

                                    = 225 + x squared = 625

                                     - 225                      - 225

                                    = x squared = 400

                                find square root

                                    = x = 20 inches

                                               x = 20 inches

                                                        Length = 20 inches

TO FIND THE AREA

length x width

length = 20 inches

width = 15 inches

20 x 15 = 300

             Area = 300 inches

Answer 2

The length of the rectangle and the area of the rectangle is  20 inches

and 300 inches.

Calculation of the length and area of the rectangle:

Since The diagonal of a rectangle is 25 in. The width is 15 in.

Now here the length should be

$= \sqrt{(25)^2 - (15)^2} \\\\= \sqrt{625 - 225} \\\\= \sqrt{400}$

= 20 inches

Now the area should be

= 20(15)

= 300 inches

Hence, The length of the rectangle and the area of the rectangle is  20 inches and 300 inches.

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