Question

Missouri has a shape that is similar to a trapezoid with bases of about 198 miles and 276 miles and a height of about 270 miles. estimate the area of the state.

Answer 1

To estimate the area of Missouri, we use the formula for the area of a trapezoid with the given dimensions, resulting in approximately 63,810 square miles.

Step-by-step explanation:

The question is asking us to estimate the area of the state of Missouri, which is compared to a trapezoid. The formula for the area of a trapezoid is A = (1/2) × (base1 + base2) × height. Plugging in the given values, the estimated area would be A = (1/2) × (198 miles + 276 miles) × 270 miles, which calculates to an approximate area of

63,810 square miles.

This method of calculating the area of a trapezoid is useful in various applications of geometry and is an essential concept in mathematics.

Answer 2

The equation for the area of a trapezoid is
`A = (1)/(2)h(a+b)`, where A=area, a & b = lengths of your bases (aka the parallel sides of your trapezoid), and h = height of the trapezoid.

The bases are 198 mi and 276 mi. I'm going to say a = 198 mi and b = 276 mi, but you can switch the values of the bases around, it won't affect your solution! The height, h = 270 mi. Plug these values into the equation for the area of a trapezoid and solve for A:

`A = (1)/(2)h(a+b)\\ A = (1)/(2)(270\:mi)(198\:mi+276\:mi)\\ A = (1)/(2)(270\:mi)(474\:mi)\\ A = (1)/(2)(127980\:mi^(2))\\ A = 63990\:mi^(2)`

The estimated area of Missouri is
`A = 63990\:mi^(2)`.