Question

The formula for the area of a rectangle is A = lw. What

is the area of rectangle WXYZ?
16 square units
18 square units
20 square units
22 square units

Answer 1

c

Explanation:

Answer 2

20 square units

Explanation:

we know that

The area of rectangle is equal to

`A=LW`

In this problem

`L=WX=ZY\\W=WZ=XY`

the formula to calculate the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

Find the distance WX

we have

W(-3,1), X(3,3)

substitute the values in the formula

`d=\sqrt{(3-1)^(2)+(3+3)^(2)}`

`d=\sqrt{(2)^(2)+(6)^(2)}`

`d_W_X=√(40)\ units`

Find the distance XY

we have

X(3,3),Y(4,0)

substitute the values in the formula

`d=\sqrt{(0-3)^(2)+(4-3)^(2)}`

`d=\sqrt{(-3)^(2)+(1)^(2)}`

`d_X_Y=√(10)\ units`

Find the area of rectangle

`A=(WX)(XY)`

substitute the values

`A=(√(40))(√(10))=20\ units^2`