Question

You are building a shelf that fits in a corner in the figure the entire shelf is EGH. each unit in the coordinate plane represents one inch. Find the area A of the shelf. E is (25,20) G is (15,10) H is (25,10)

Answer 1

Explanation:

Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.

Answer:

112.5 units²

Explanation:

Area of the shelf = ½*base*height.

The base is the distance between Z(0, 5) and Y(15, 5)

The height is the distance between X(15, 20) and Y(15, 5).

Therefore area of the shelf = ½*ZY*XY

Use the distance formula to find ZY and XY.

Distance between Z(0, 5) and Y(15, 5):

Let,

Distance between X(15, 20) and Y(15, 5):

Let,

Area of shelf = ½*15*15 = ½*225 = 112.5 units²