Question

The area of a rectangle carpet is 120m And it's perimeter is 46m find its length and breadth

Answer 1

Heya ☺

Area of rectangle l×b=120m^2_--------1)

【where l=lenght and b=breadth 】

and ,perimeter if rectangle =2(l+b)=46

=)l+b=23-------2)

=) l-b=√(l+b)^2-4lb.

=)l-b=√529-4×120 【from 1 ) and 2)】

=)l-b=√529-480

=)l-b=√49

=)l-b=7______3)

now,adding 1)and 3 )

we get,

l+b=23

l-b=7

----------

2l=30

l=15.

and again putting on 1)

b=8 ..

now for finding the diagonal we use Pythagoras theorm..

d=√15^2+64

d=17m.

hope it help you.

Answer 2

Answer:

Perimeter =

2(l+b)=46

l+b=23

b=23-l

Area = lb

l(23-l)=120

23l-l^2=120m

l^2-23l+120

l^2-15l-8l+120

l(l-15)-8(l-15)

Therefore l=15m

b=8m

Pls mark brainliest!!..