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3 years ago

Find the missing dimension.

Mathematics

1 answer:

Alecsey [184]3 years ago

4 0

Answer:

2 m

Step-by-step explanation:

Here the area and the lengths of the two parallel sides of this trapezoid are given:

A = 7m^2, b1 = 3 m and b2 = 4 m. What's missing is the width of the trapezoid.

First we write out the formula for the area of a trapezoid:

b1 + b2

A = --------------- * w, where w represents the width of the figure.

We need to solve this for the width, w. Multiplying both sides of the above equation by

------------

b1 + b2

results in

------------ = w

b1 + b2

Substituting 7 m^2 for A, 3 m for b1 and 4 m for b2 results in

2(7 m^2) 14 m^2

w = ------------------ = ---------------- = 2 m

(3 + 4) m 7 m

The missing dimension is the width of the figure. This width is 2 m.

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