Question

show that (0,-1) , (-2,3) , (6,7) , (8,3) from a rectangle . find its area and perimeter​

Answer 1

Hey mate !!!!

Here is ur answer....

By distace formula ....

$\sqrt({( {x2 - x1})^{2} } + ({y2 - y1})^{2} )$
Then AB =√(-2+0)²+(3+1)²
=√4+16
=2√5 units

BC=√(6+2)²+(7-3)²
=√64+16
=4√5 units

CD= √(8-6)²+(3-7)²
.=√4+16
=2√5 units

AD=√(8-0)²+(3+1)²
=√64+16
=4√5 units

AC =√(6-0)²+(7+1)²
=√36+64
=10 units

BD =√ (8+2)²+(3-3)²
BD =√100
BD =10 units

Since ir has oppsite sides equal and both the dias are also equal it will form a rectangle......

Area of rectangle = length*breadth
= 2√5*4√5
= 8*5
= 40 sq. units

Perimeter of rectangle = 2(length+beadth)
=2(2√5+4√5)
=12√5 units


THANKS

HOPE IT IS HELPFUL......

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