Question

practice using areas and perimeters of trapezoids, rhombi, and kites. hien would like to estimate the area of nevada using a trapezoid. she uses the dimensions shown as approximations. what is the approximate area of nevada? sq mi 207 mi 320 mi 483 mi 405 mi

Explanation:

Step1: Recall trapezoid area formula

The formula for the area of a trapezoid is $A=\frac{1}{2}(b_1 + b_2)h$, where $b_1$ and $b_2$ are the lengths of the parallel - sides and $h$ is the height. Here, $b_1=207$ mi, $b_2 = 483$ mi, and $h = 320$ mi.

Step2: Substitute values into formula

$A=\frac{1}{2}(207 + 483)\times320$. First, calculate the sum of the parallel sides: $207+483 = 690$ mi.

Step3: Calculate the area

$A=\frac{1}{2}\times690\times320=690\times160 = 110400$ square miles.

Answer:

110400