Question

The areas of a rectangle and a square are equal. The side of the square is 5 cm and the smaller side of the rectangle is half that of the square. The length of other side of the rectangle would be
A). 5 cm
B). 8 cm
C). 10 cm
D). 12.5 cm​

Answer 1

Step-by-step explanation:

Option c is correct

Given: side of square is 5cm

Firstly, we find the area of square i.e.

area of square= side×side

area=5×5

area=25cm^2

width of rectangle=1/2×5(width of rectangle is half of square.)

width=2.5cm

area of rectangle=length×width(area of square is equal to the area of rectangle.)

25=length×2.5

25/2.5=length

10cm=length of rectangle

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Answer 2

AnsWer :

C) 10 Cm.

Given :

• The area of Rectangle and area of square be equal.
• The sides of Square be 5 Cm.
• Smaller sides of Rectangle is half of the sides of Square.

To Find :

Length of Othes sides of Rectangle.

Solution :

Taking Rectangle,

Area of Rectangle = l * b _______(1)

Taking Square,

Area of Square = (sides)²________(2)

$\rule{140}1$

We have,

Area of Rectangle = Area of Square.

i,e.

$\tt\dashrightarrow l \times b = {a}^{2}$

Here,

• l length of Rectangle.
• b Breadth of Rectangle.
• a sides of square.

$\tt\dashrightarrow l \times b = {5}^{2} .$

$\tt\dashrightarrow l \times b = 25.$

The smaller sides of Rectangle is half of the sides of square.

• Let smaller Side Rectangle be l.

$\tt\dashrightarrow \frac{1}{2} \times 5 \times b = 25.$

$\tt\dashrightarrow b = \frac{ \cancel{25 }\times 2}{ \cancel5}$

$\tt\dashrightarrow b = 10 \: cm.$

Therefore, the required sides of rectangle be 10 cm.