Find the area of the figure below, formed from a triangle and a parallelogram

Find The Area Of The Figure Below Formed From A Triangle And A Parallelogram class=

Sagot :

9514 1404 393

Answer:

  (d)  32 mm²

Step-by-step explanation:

The relevant area formulas are ...

  A = 1/2bh . . . . . area of triangle with base b and height h

  A = bh . . . . . . .  area of parallelogram with base b and height h

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The triangle has a base of 8 mm and a height of 3 mm, so an area of ...

  A = 1/2(8 mm)*(3 mm) = 12 mm²

The parallelogram has a base of 5 mm and a height of 4 mm, so an area of ...

  A = (5 mm)(4 mm) = 20 mm²

Then the area of the figure is ...

  figure area = triangle area + parallelogram area = 12 mm² +20 mm²

  figure area = 32 mm²