Question

the perimeter of a rectangl and a square or same. the length and breadth of the rectangle are 50cm and 34cm respectively. Find which figure has greater area and by how much.

Answer 1

Hey there!

Here's your answer -

Given - The perimeter of Rectangle and square is same.

L = 50cm and B = 34cm

To find - The figure which has a greater area and by how much

Calculation -

Perimeter of Rectangle = 2(l + b)

2 ( 50 + 34)

100 + 68

= 168 cm

Therefore Perimeter of square will be also 168 cm.

Perimeter of square = 4a or sum of all sides.

Let the side be x

Therefore,

4x = 168

x = 168/4

= 42

Therefore,

One Side of square = 42cm
=========================================
Now,

Calculating the area.

Area of rectangle = Length × breadth

= 50 × 34

= 1700cm²

Area of square = (Side)²

= (42)²

= 1764 cm²

Therefore Square has larger area by -

1764 - 1700 = 64cm²

Hope it helps!

Answer 2

thank you




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