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SOMEONE ANSWER PLEASE The trapezoid below is made up of a square and a triangle The total area of the trapezoid

is 575 square meters. The area of the triangle is 32.5 square meters. What is the a length of
side of the square?

User Tero Niemi
by
4.7k points

2 Answers

7 votes

Solution:

Note that:

  • Area of trapezoid = Area of triangle + Area of square = 575 m²
  • Area of triangle = 32.5 m²
  • Area of square = s²

Finding the area of the square:

  • 32.5 + Area of square = 575 m²
  • => Area of square = 575 - 32.5
  • => Area of square = 542.5
  • => s² = 542.5
  • => s = √542.5 ≈ 23.29

The length of the square is 23.29 meters.

User Eshaham
by
5.6k points
5 votes

Area of triangle = 32.5 m²

Area of square = s²

  • Area of trapezoid = Area of triangle + Area of square = 575 m²

Area of the square:


32.5 + Area of square =
575 m²

Area of square =
575 -32.5

Area of square =
542.5


s² = 542.5


s= √(542.5) = 23.29

The length of the square is
23.29 meters.

User IntricatePixels
by
4.8k points