2 years ago

I need to know how to write a equation number sentence for my time traveled from 2020 to 2000

Mathematics

1 answer:

vesna_86 [32]2 years ago

5 0

Answer:

explain further or send a picture of what you mean and then I can help you

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The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of

Xelga [282]

Answer:

$b_1 \approx 7.2$

$b_2 \approx 14.4$

Step-by-step explanation:

Given

$Area = 65cm^2$ --- Area of the triangle

$b_2 = 2b_1$ --- the bases of the trapezoid

The missing parameters is:

$h=6 cm$ --- Trapezoid height

Required

Determine b1 and b2

Since the areas of the trapezoid and the triangle are the same, then:

$Area = \frac{1}{2}(b_1 + b_2) *h$

So, we have:

$65 = \frac{1}{2}(b_1 +b_2) * 6$

Substitute $b_2 = 2b_1$

$65 = \frac{1}{2}(b_1 +2b_1) * 6$

$65 = \frac{1}{2}(3b_1) * 6$

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Solve for $b_1$

$b_1 = \frac{65}{9}$

$b_1 \approx 7.2$

Substitute $b_1 \approx 7.2$ in $b_2 = 2b_1$

$b_2 \approx 2 * 7.2$

$b_2 \approx 14.4$

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2 years ago