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Use ALL of the tools have, to find area and perimeter of this below:



Use ALL of the tools have, to find area and perimeter of this below: ​-example-1

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9514 1404 393

Answer:

  • area 36 ft²
  • perimeter 30 ft

Explanation:

The area can be decomposed into a rectangle and a trapezoid.

The rectangle is 2' by 5', so has area ...

A = LW

A = (5 ft)(2 ft) = 10 ft²

The trapezoid has bases 8 ft and 5 ft, and height 4 ft, so its area is ...

A = 1/2(b1 +b2)h

A = 1/2(8 ft +5 ft)(4 ft) = 26 ft²

Then the total area of the figure is ...

total area = 10 ft² +26 ft² = 36 ft²

__

The slant side of the trapezoid is the hypotenuse of a triangle with sides 3 and 4. The Pythagorean theorem tells us its length is ...

c = √(a² +b²) = √(3² +4²) = √25 = 5

The perimeter of the figure is the sum of the side lengths. Working clockwise from the top, that sum is ...

P = 5 + 4 + 2 + 2 + 5 + 2 + 5 + 5 = 30 . . . feet

The perimeter of the figure is 30 feet.

Use ALL of the tools have, to find area and perimeter of this below: ​-example-1
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