Question

length and breadth of a rectangle is in the ratio of 8:3, if the total area of the rectangle is 96sq cms, then what is the length of the rectangle​

Answer 1

Solution

Given :-

• length and breadth of a rectangle is in the ratio of 8:3
• the total area of the rectangle is 96sq cms,

Find:-

• Length & Breadth y rectangle

Explanation

Formula

$\dag\boxed{\underline{\tt{\red{\:Area_{rectangle}\:=\:(Length\times Breadth)}}}}$

Let,

• Length be = x
• Breathe be = y

According to question ,

Case 1.

==> x : y = 8:3

==> x/y = 8/3

==> 3x - 8y = 0______________(1)

Case 2.

==> x . y = 96____________(2)

Or,

==> x = 96/y _____________(3)

Keep in equ(1)

==> 3×96/y - 8y = 0

==> 288 - 8y² = 0

==> 8y² = 288

==> y² = 288/8

==> y² = 36

==> y = √36

==> y = 6

Keep in equ(3)

==> x = 96/6

==> x = 16

Hence

• Length be = 16 cm
• Breathe be = 6 cm

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