Question

The area of the quadrilateral, whose sides are along the lines x
=0, x= 4, y = -3 and y = 5,
​

Answer 1

Answer:

32

Step-by-step explanation:

length of the side along x axis = 4-0 =4

length of the side along y axis = 5-(-3)=8

area =4*8=32

Answer 2

Answer:

The area of the quadrilateral is 32sq.units.

Step-by-step explanation:

Given that,

A quadrilateral is formed by the lines $x=0,x=4,y=-3\:and\:y=5$

The quadrilateral formed by the given straight lines is an Rectangle and its area is the product of the vertical and horizontal distances between the lines.

The distance between vertical lines is

$d_{v}=|x_{2}-x_{1}|=|4-0|=4\:units.$

Similarly,the distance between horizontal lines is

$d_{h}=|y_{2}-y_{1}|=|5-(-3)|=8\:units$

Now the area of rectangle is product of these distances which is calculated as shown

$A=d_{v}d_{h}=4(8)=32sq.units$

Therefore,

The area of the quadrilateral is 32sq.units.

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