Question

On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?

Answer 1

The area of this trapezoid is 196.

Answer 2

Answer:

The Area of the trapezoid shaped window is $196in^{2}$

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

We can see from the picture below that the area of a trapezoid is the following

$A = \frac{a+b}{2} *h$

Where:

• A is the area
• a is the top base
• b is the bottom base
• h is the height

First we need to find the bottom base value, which we can see from the picture would be the following,

$10+4+4 = b$

$18 = b$

Now we can plug all the values into the formula for the Area in order to calculate the final Area of the trapezoid shaped window.

$A = \frac{a+b}{2} *h$

$A = \frac{10+18}{2} *14$

$A = \frac{28}{2} *14$

$A = 14 *14$

$A = 196in^{2}$

So the Area of the trapezoid shaped window is $196in^{2}$

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