Question

ratio or length and breathe is 4:6 and area is 140cm2 find the length and breathe ​

Answer 1

Answer:

ANSWER

Given ratio of length, breadth and height =6:4:7

So, length, breadth height can be written as 6x,4x and 7x respectively.

Surface area of cuboid =2(24x

2

+28x

2

+42x

2

)

=2(94x

2

)

=188x

2

Now we know that

188x

2

=1692

x

2

=

188

1692

=9

x=3

So length of cuboid =18

Breath of cuboid =12

height of cuboid =21

Volume of cuboid will be =18×12×21

=4536 cubic units

Answer 2

Correct Question :

The Ratio of length and breadth is 4:6 and area is 140 cm² . Find the length and breadth of rectangle .

Answer :

• Let the unknown entity to be x , now length will be 4x and breadth will be 6x .

Formula of area of rectangle = Length × Breadth

• Substitute the values given

$\implies \sf 140\:=\:4x\: \times \:6x$

$\implies \sf 140\:=\: 24x²$

$\implies \sf x²\:=\: \dfrac{140}{24}$

$\implies \sf x\:=\: \sqrt{5.83} \:cm$

$\implies \sf x\:=\: 2.41\:cm$

• Length = 4(2.41) = 8.56 cm

• Breadth = 6(2.41) = 12.84 cm

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