Question

the length and breadth of a rectangle are 16cm and 4cm.A square of side x cm has the same area as the rectangle.Find i)the area of the rectangle ii)the value of x​

Answer 1

Step-by-step explanation:

1. 16×4=64

so the area of square is 64

Answer 2

Answer:

$\Large{\boxed{\red{\underline{(i)Area=64 \: cm}}}}$

$\Large{\boxed{\red{\underline{(ii)x=16 \: cm}}}}$

Step-By-Step Explanation:

Given, Length = 16 cm = L

Breadth = 4 cm = B

Area of Rectangle = L × B

So, = 16 × 4

∴ = 64 cm

(i) = 64 cm is the area of the rectangle.

Given, "A square of side x cm has the same area as the rectangle."

So, Area of Square = 64 cm (As given in question)

$4x = 64$

$x = \frac{64}{4}$

∴ $x = 16 \: cm$

The value of $x$ is 16 cm.

(ii) = 16 cm is the side of the square.

So, $\Large{\boxed{\red{\underline{(i)Area=64 \: cm}}}}$

$\Large{\boxed{\red{\underline{(ii)x=16 \: cm}}}}$

Thank you! ❤

^^

Extra Information:

Area of Rectangle = Length × Breadth = L × B

Area of Square = 4 × $x$ (where $x$ is the side of the square).