Question

Find the area of the figure below formed from a triangle and from a rectangle in square millimeters

Answer 1

Answer:

Area of given figure is 216 mm².

Step-by-step explanation:

Area of the given figure = Area of triangle + Area of Rectangle

Area of triangle whose sides are known is determined by the formula:

$Area = \sqrt{s(s-a) (s-b)(s-c)}$

where s is the semi-perimeter of the triangle. i.e.

s = (a + b + c) ÷ 2

⇒ s = ( 12 + 16 + 20) ÷ 2 = 24 mm

Then $Area = \sqrt{24(24-12) (24-16)(24-20)}$

⇒ $Area = \sqrt{24\times12\times8\times4}$

⇒ Area = 96 mm²

Area of Rectangle = length × width

Area = 6 × 20 = 120 mm²

∴ Total Area = 96 mm + 120 mm = 216 mm²

Thus, Area of given figure is 216 mm².

Answer 2

To find the area of the triangle, you multiply the two sides together, and divide it by two. To find the area of the rectangle, just multiply the two sides given. Add the two products together, and you get your answer!