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Find the perimeter and the area of the figure. A right-angled trapezoid has a shorter base of 7 centimeters, longer base of 9.5 centimeters, and height of 6 centimeters. The trapezoid is divided into a rectangle and a right triangle. The height of the triangle is aligned with the width of the rectangle and it has a hypotenuse of 6.5 centimeters.

Find The Perimeter And The Area Of The Figure A Rightangled Trapezoid Has A Shorter Base Of 7 Centimeters Longer Base Of 95 Centimeters And Height Of 6 Centimet class=

Sagot :

The given dimensions of 9.5, 6, 7, and 6.5 cm gives the following

perimeter and area of the trapezium.

  • Perimeter: 29 cm
  • Area: 49.5 cm²

How can the area and perimeter of the trapezium be found?

The perimeter of a trapezoid is given as follows;

Perimeter = The sum of the lengths of the sides

Which gives;

Perimeter = 6 + 7 + 6.5 + 9.5 = 29

The perimeter of the trapezoid = 29 cm

  • Perimeter: 29 cm

The area of the trapezoid is given as follows;

[tex]Area = \mathbf{ \dfrac{Sum \ of \ the \ parallel \ sides }{2} \times Height}[/tex]

Which gives;

[tex]Area = \dfrac{7 + 9.5 }{2} \times 6 = 49.5[/tex]

The area of the trapezoid = 49.5 cm²

  • Area: 49.5 cm²

Learn more about the area and perimeter of geometric shapes here:

https://brainly.com/question/359059

https://brainly.com/question/11461461

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