Find the area pf a trapezoid with a base of 26.7 ft , a height of 15.4 and top of 9.9 ft

1 answer:

8 0

Hello!

To find the area of the trapezoid, you use the formula A=1/2h(a+b), where a and b represent the two base lengths.

Since we already know the two bases and the height, we can just plug them into the equation to find the area.

A=1/2·15.4(26.7+9.9)
A=1/2·15.4(36.6)
A=1/2·563.64
A=281.82

The area is 281.82 ft².

I hope this helps!

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The surface area of a pyramid is 327 square meters. what is the surface area of a similar pyramid that is smaller by a scale fac

N76 [4]

Answer:

$\boxed{\text{144.33 m}^{2}}$

Step-by-step explanation:

The scale factor (C) is the ratio of corresponding parts of the two pyramids.

The ratio of the areas is the square of the scale factor.

$\dfrac{A_{1}}{ A_{2}} = C^{2}\\\\\dfrac{\text{327 m}^{2}}{A_{2}} = \left (\dfrac{1}{\frac{2}{3}}\right)^{2}\\\\ \dfrac{\text{327 m}^{2}}{A_{2}}= \dfrac{9}{4}\\\\\text{1308 m}^{2}= 9A_{2}\\\\A_{2} = \text{145.33 m}^{2}\\\text{The surface area of the smaller pyramid is \boxed{\text{145.33 m}^{2}}}$