Respuesta :

Answer:

29.5 yd²

Step-by-step explanation:

First we find the area of the triangle.

The base of the triangle is 5+4 = 9 yd.

The height of the triangle is 6+5 = 11 yd.

The formula for the area of a triangle is A = 1/2bh; this gives us

A = 1/2(9)(11) = 1/2(99) = 49.5 yd²

Next we find the area of the rectangle that is removed.  The length of the rectangle is 4 and the width is 5.  The area of a rectangle is given by

A = l*w; for our rectangle, we have

A = 4(5) = 20 yd²

The shaded region will have an area of

49.5 yd² - 20 yd² = 29.5 yd²

The area of the shaded region is 29.5 square yard.

The following calculations to be done:

  • Area of the triangle:

Base of the triangle is = 5 + 4  = 9 yard.

Height of the triangle = 6 + 5  = 11 yard.

Now

Area of the triangle is

[tex]= \frac{1}{2} \times base \times height \\\\= \frac{1}{2} \times 9 \times 11[/tex]

= 49.5 square yards.

Now

  • Area of the rectangle:

[tex]= length \times width \\\\= 4\times 5[/tex]

= 20 square yards.

Now finally the shaded region should be

= 49.5 square yard - 20 square yard

= 29.5 square yard

Therefore we can conclude that the area of the shaded region is 29.5 square yard.

Learn more: brainly.com/question/2773823

Otras preguntas