95.6k views
1 vote
PLEASE ASAP!!!

Determine the area and perimeter of a rectangle that is five inches wide and has diagonals that are 34.37 inches long.

1 Answer

4 votes

Answer:

  • area 170 in²
  • perimeter 78 in

Explanation:

The Pythagorean theorem tells you the long side (x) of the rectangle is found from ...

5² + x² = 34.37²

25 + x² = 1181

x = √(1181 -25) = 34

The rectangle is 5 inches wide and 34 inches long.

The area is the product of the length and width:

area = (34 in)(5 in) = 170 in²

The perimeter is twice the sum of length and width:

perimeter = 2(34 in + 5 in) = 78 in

User Lukich
by
6.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.