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Estimate the perimeter and the area of the shaded figure.

A shaded composite figure is shown on a grid. The figure is made up of an isosceles triangle and an isosceles trapezoid. The triangle has a base of 6 units and height of 3 units. The trapezoid has a shorter base of 4 units, longer base of 6 units, and height of 3 units. The longer base of the trapezoid is aligned with the base of the triangle.

perimeter: about
units

area: about
square units

Respuesta :

MrRoyal

The shapes in the composite figures are a triangle and a trapezoid

The area of the figure is about 24 square units

The area of the figure

The dimensions of the figure are given as:

Triangle

  • Base = 6 units
  • Height = 3 units

Trapezoid

  • Shorter base = 4 units
  • Longer base = 6 units
  • Height = 3 units

The longer base of the trapezoid and the base of the triangle are aligned.

So, the area is:

Area = Area of triangle + Area of trapezoid

This gives

Area = 0.5 * base * height + 0.5 * (sum of bases) * height

So, we have:

Area = 0.5 * 6 * 3  + 0.5 * (4 + 6) * 3

Evaluate

Area = 24

The figure is needed to determine the perimeter

Hence, the area of the figure is about 24 square units

Read more about composite figures at:

https://brainly.com/question/21135654

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