Question

What is the area of rectangle VWXY?

-10 -8 -6
W
X
4
-2
104
4
2
6
8
0
-2
-6
8
9
-10
2
4
8

Answer 1

The area of the rectangle graphed is 200 unit²

How to determine the area of the rectangle

Using the parameters given for our Calculation;

The distance between two points is;

d = √(x_{1}-x_{2})^{2} + (y_{1}-y_{2})^{2}

Coordinate values for the each points :

X = (-4, 10)

Y = (8, 6)

W = (-9, -5)

V = (3, -9)

We can calculate the length of each side thus ;

For XY :

XY = √(-4 -8)² + (10 -6)²

XY = √144 + 16 = 12.65

For XW :

XW = √(-4 - (-9))² + (10 - (-5))²

XW = √25 + 225 = 15.81

FOR WV :

WV = √(-9 -3)² + (-5 -(-9))²

WV = √144 + 16 = 12.65

FOR YV :

YV = √(8 - 3)² + (6 - (-9))²

XY = √25 + 225 = 15.81

Therefore, the length and width values of the rectangle are;

• Length = 15.81
• width = 12.65

Using the formula required for a rectangle;

• Rectangle = length × width

Now we have;

Area = 15.81 × 12.65

Area = 199.99 ≈ 200 unit²