Question

Cut square with side of 25cm from corner of squares piece cardboard with side 75cm. What is the area of the piece left

Answer 1

Given :-

1. Side of the cardboard = 75 cm

2. Side of the square = 25 cm

To find :-

◍ The area of the piece left

Formula to be used :-

$\boxed{\tt{Area\:\:of \: \: square \: = \: (side)^{2} }}$

Solution :-

First we will find the area of the cardboard.

$\tt{Area \: \: of \: \: the \: \: cardboard = (75 \: cm)^{2}} \\ \\ \tt{= 5625 \: {cm}^{2} }$

Now, we will find the area of the square to be cut out.

$\tt{Area \: \: of \: \: the \: \: square = (25 \: cm)^{2}} \\ \\ \tt{= 625 \: {cm}^{2} }$

$\mapsto \: \tt{Area \: \: of \: \: the \: \: piece \: \: left \: \: out =Area \: \: of \: \: the \: \: cardboard \:- \: Area \: \: of \: \:the \: \: square} \\ \\ \tt{ =( 5625 - 625 )\: {cm}^{2} = 5000 \: {cm}^{2} }$

More Information :-

• Perimeter of the square = 4 × square

• Area of the rectangle = Length × Breadth

• Perimeter of the rectangle = 2(Length + Breadth)

• Area of circle = π × (radius)²

• Circumference of the circle = 2 × π × radius