Question

Find the perimeter and the area of the polygon with the given vertices.

T (2,7), U (2,9), V (5,9), W (5,7)
The perimeter is __ units.

The area is ___ square units.

Answer 1

Explanation:

TU , UV , VW, TW are the sides

As points T and U have same x-coordinate, length of TU will be given by the difference of y-coordinate

TU = 9 - 7 = 2 units

As points U and V have same y-coordinate, length of UV will be given by the difference of x-coordinate

UV = 5 - 2 = 3 units

As points V and W have same x-coordinate, length of VW will be given by the difference of y-coordinate

VW = 9 -7 = 2 units

As points W and T have same y-coordinate, length of WT will be given by the difference of x-coordinate

WT = 5 - 2 = 3 units

TU = VW = 2 units

UV = WT = 3 units

So, TUVW is a rectangle

Area = length *width = 3* 2 = 6 square units

Perimeter = 3 + 2 + 3 + 2 = 10 units