Question

A rectangular wire of one side 6 is made into a square of side 10. What is the other side of the rectangle? ( A ) 16 ( B ) 14 ( C ) 10 ( D ) 12

Answer 1

Answer:

Step-by-step explanation:

perimeter of sq = 10 x 4= 40 sq unit

Since, 2(l+b)= perimeter of rectangular wire

=)2(6+b)=40

=)12+2b=40

=)b=14.

Therefore, other side is 14.

Answer 2

Answer:

The other side of the Rectangle is 14 units.

Step-by-step explanation:

Given :

One side of the rectangle = 6 units

Measure of square's side = 10 units

To find :

The other side of the rectangle

Solution :

It is given that the rectangle is reshaped as a square. So, the perimeter of the rectangle and the perimeter of the Square will be same.

$\textsf{\underline{\underline{Perimeter of Square -}}}$

★ $\boxed{\sf{Perimeter=Side \times 4}}$

$\tt{\leadsto} \: 4 \times 10$

$\tt{\leadsto} \: 40$

Perimeter of the square = 40 units

$\rule{300}{1.5}$

$\textsf{\underline{\underline{Measure of the second side of Rectangle -}}}$

Let the other side be as y

Perimeter of the rectangle is 40 units

$\bigstar\:\boxed{\sf{Perimeter=2(Length +Breadth)}}$

$\tt{\leadsto} \: 40 = 2(y + 6) \\ \\ \tt{\leadsto} \: 40 = 2y + 12 \\ \\ \tt{\leadsto} \: 2y = 40 - 12 \\ \\ \tt{\leadsto} \: 2y = 28 \\ \\ \tt{\leadsto} \: y = \dfrac{28}{2} \\ \\ \tt{\leadsto} \: y = 14$

$\therefore$ The other side of the Rectangle is 14 units.