Respuesta :

C2004simmons

Answer:

Ok. I'm just going to give you a hint on these, and then if you find it too hard,

then i'll walk you through.

Do you know the fomula for the angle of a triangle, A=(1/2)(b*h)?

If so, the idea behind these is to make triangles out of the sides of the diagrams, then add them to the squares in the middle.

Can you proceed?

Answer:

Step-by-step explanation:

The shaded region is a trapezoid. The formula for determining the area of a trapezoid is expressed as

Area = 1/2(a + b)h

Where

a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.

h represents the height of the trapezoid.

5) From the information given,

a = 12

b = 24

h = 28

Area = 1/2(12 + 24)28 = 504 yd²

6) From the information given,

a = 21

b = 38

To determine h, we would apply the sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Sin 30 = h/12

h = 12Sin30 = 12 × 0.5 = 6 cm

Area of trapezoid = 1/2(21 + 38)6 = 177 cm²

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