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3 years ago

The bases of a right prism are isosceles trapezoids with bases of 10 ft and 18 ft

Mathematics

1 answer:

likoan [24]3 years ago

4 0

Answer:

540 ft^2.

Step-by-step explanation:

The area of the trapezoid = h/2 (10 + 18) = 14h.

By Pythagoras the height h = √(5^2 - 4^2) = 3.

So the area of the 2 trapezoidal bases = 2 * 14*3

= 84 ft^2.

Now we calculate the area of the four lateral rectangular sides:

= 10*12 + 18*12 + 2*5*12

= 456 ft^2.

Total area = 456 + 54

= 540 ft^2.

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