Question

What is the area of a rectangle with vertices with (2,3), (7,3), (7,10), and (2,10)

Answer 1

35 square units

Explanation:

multiply the base by the hight

Answer 2

35 square units

Explanation:

rectangle with vertices (2,3), (7,3), (7,10), and (2,10)

Area of a rectangle = length times width

Apply distance formula to find the distance between the sides

`D= √((x_2-x_1)^2+(y_2-y_1)^2)`

points (2,3) and (7,3)

`D= √((7-2)^2+(3-3)^2)=5`

points (7,3) and (7,10)

`D= √((7-7)^2+(10-3)^2)=7`

Area of the rectangle = length times width = 5 times 7 = 35