Question

A rectangle with sides 4 cm and 6 cm has the same diagonal as a square.
What is the length of the side of the square.
Give your answer as a surd.

Answer 1

Step-by-step explanation:

ok gn that length of rectangle is 6 cm and breadth is 4 cm

So by pythogaras theorem

AC²( diagonal of rectangle) = AB²+BC²

AC²= 6²+4²

AC²= 36 + 16

AC²=52

AC = 7.21

So side of a square is 7.21 cm because diagonal of rectangle is equal to side of square

PLS MARK ME BRAINLIEST PLSSS

I AM WORKING HARD TO GIVE U RIGHT ANSWER

I HAVE GIVEN STEP BY STEP ANSWER

Answer 2

Given :-

• Length of the rectangle = 6 cm
• Breadth of the rectangle = 4 cm

To Find :-

• The length of the side of square.

Solution :-

Using the formula,

• Side of the square = √(Length)² + (Breadth)²

Where,

• S = Side
• L = Length
• B = Breadth

Substituting their values,

= √(6)² + (4)²

= √36 + 16

= √52

= 2√13 cm

Therefore, the length of side of the square is 2√13 cm.

______________________________

Some related formulae -

• Area of square = side × side
• Perimeter of square = 4 × side
• Diagonal of square = √2a
• Perimeter of reactangle = 2(l + b)
• Diagonal of rectangle = √l² + √b²
• Area of rectangle = length × breadth