Question

3. A recent tornado in a small town in Southwest New York destroyed and damaged

Answer 1

Answer:

$\text{Area of the Land}=62906.91 ft^2$

Step-by-step explanation:

To determine the area of the land, we first determine the length of the base.

Since it is a isosceles trapezoid,

Length of the base =(228+2x)ft where x is the base of the triangle.

In the Right Triangle,

Perpendicular Height =209 ft

Hypotenuse =221.38 ft

Using Pythagoras Theorem:

$Hypotenuse^2=Opposite^2+Adjacent^2\\221.38^2=209^2+x^2\\x^2=221.38^2-209^2\\x^2=5328.1044\\x=\sqrt{5328.1044} \\x=72.99\: ft$

Therefore, the length of the isosceles' trapezoid base

=228+2(72.99)=373.98ft

Area of a trapezoid

$A=\frac{1}{2}(a+b)h\\ Where a and b are the parallel sides\\h=Perpendicular Height$

a=228ft, b=373.98ft, h=209ft

$Area=\frac{1}{2}(228+373.98)209\\=\frac{1}{2}*601.98*209\\ Area of the Land=62906.91 ft^2$