Question

*The side of a square is 5 cm and the area of ​​a rectangle is twice the area of ​​this square. So what is the area of ​​the rectangle?*

1️⃣ 25 sqcm
2️⃣ 100 sqcm
3️⃣ 50 sqcm
4️⃣ 12.5 sqcm​

Answer 1

Given

• Side of Square = 5cm
• Area of Rectangle =2 × Area of Square

To Find

• Area of Rectangle

We know that

Area of square = $Side$$A^{2}$

Area of square=$5^{2}$

Area of square=$25cm^{2}$

• It is Given area of a rectangle is twice the area of this square

Area of rectangle=$2A Area of square$

Area of rectangle=$2A25$

Are of rectangle=$50cm^{2}$

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• Hence the area of Rectangle is 50cm²

Answer 2

Given

• Side of Square = 5cm
• Area of Rectangle =2 × Area of Square

To Find

• ✰Area of Rectangle

• ✰We know that

$\sf Area\ of\ Square= (Side)²Area of Square=(Side)²$

$\sf Area\ of\ Square= {5}^{2}$

$\sf Area\ of\ Square= 25cm ^{2}$

It is Given area of a rectangle is twice the area of this square

$\sf{Area \: of \: Rectangle= 2× Area \: of \: Square }$

$\sf {Area \: of \: Rectangle= 2× 25}$

$\sf {Area \: of \: Rectangle= 50cm ^{2} }$

• Hence the area of Rectangle is 50cm²

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