Question

The measure of two adjacent sides of a rectangle are in the ratio 4:3. If the perimeter of the rectangle is
686 cm, find its length and breadth.
The
the perimeter of the field is 96 m, find its length and
breadth.
7.
cides of a triangle are in the ratio 2:3:4 Find the​

Answer 1

Question :

The measure of two adjacent sides of a rectangle are in the ratio 4:3. If the perimeter of the rectangle is 686 cm, find its length and breadth.

Solution :

The adjacent sides of a rectangle are in ratio 4 : 3 (Given)

Perimeter of rectangle = 686 cm (Given)

We have to find the length and Breadth of the rectangle.

Let the adjacent sides of the rectangle be 4x and 3x

Thus,

• Length = 4x
• Breadth = 3x

According to Question ,

➝ Perimeter of rectangle = 2( length + breadth )

➝ 686 = 2( 4x + 3x )

➝ 686 = 2 ( 7x )

➝ 686 = 14 x

➝ x = 686/14

➝ x = 49

Therefore,

• The length of rectangle(4x) = 4×49 = 196 cm
• The Breadth of rectangle (3x) = 3×49 = 147

Answer 2

Step-by-step explanation:

Appropriate Question:

• The measure of two adjacent sides of a rectangle are in the ratio of 4 : 3. If the perimeter of the rectangle is 686cm, then find its length and breadth.

Given: The measure of two adjacent sides of a rectangle are in the ratio of 4 : 3. Perimeter of the rectangle is 686cm.

Need to find: Length and Breadth ?

❒ Ratio of the sides is given as, 4 : 3. So, let the sides of the rectangle be 4x and 3x.

__________________

$\frak{\underline{\underline{\dag As\ we\ know\ that:-}}}$

$\sf : \implies {Perimeter\ of\ rectangle\ =\ 2(l\ +\ b).}$

Here:-

• l, is for length = 4x.
• b, is for breadth = 3x.

__________________

$\frak{\underline{\underline{\dag By\ substituting\ the\ values,\ we\ get:-}}} \\ \\ \\ \sf : \implies {686\ =\ 2(4x\ +\ 3x)} \\ \\ \\ \sf : \implies {686\ =\ 2(7x)} \\ \\ \\ \sf : \implies {686\ =\ 14x} \\ \\ \\ \sf : \implies {x\ =\ \cancel \dfrac{686}{14}} \\ \\ \\ \sf : \implies {\purple{\underline{\boxed{\bf x\ =\ 49}}}}\bigstar$

Therefore,

• Length = 4x = 4(49) = 196cm.
• Breadth = 3x = 3(49) = 147cm.

$\sf \therefore {\underline{Hence,\ the\ length\ is\ \bf 196cm\ \sf and\ breadth\ is\ \bf 147cm.}}$