Question

What is the area of the leftover silver rectangle obtained after removing the largest square from A4?
10000 square mm
17640 square mm
100 square cm
180 square cm

Answer 1

Given

• Leftover silver rectangle is obtained after removing largest square from A4

_________________________________

To find

• Area of the leftover silver rectangle

_________________________________

Solution

The size of A4 Size paper ⇒ 210 × 297

Area of Rectangle ⇒ Length × Breadth

Area of Rectangle ⇒ 210 × 297 = 62370 mm²

The largest square that can be cut out ⇒ 210 × 210

Area of Square ⇒ (Side)²

Area of Given Square ⇒ (210)² = 44100 mm²

Now we will subtract the area f square from the area of rectangle to find the  area of the leftover silver.

62370 mm² - 44100 mm² = 18270 mm²

∴ The area of the leftover silver rectangle obtained after removing the largest square from A4 is 18270 mm²

_________________________________

Answer 2

Given :

the largest square from A4

To Find :

• What is the area of the leftover silver rectangle obtained

Solution :

Area of the leftover silver rectangle :

$\sf : \implies \: \: \: \: \: \: \: \: \: 210 \times 297 - 210 \times 210 \\ \\ \\\sf : \implies \: \: \: \: \: \: \: \: \: 210 ( 297 - 210) \\ \\ \\ \\ \sf : \implies \: \: \: \: \: \: \: \: \: 210 \times 87 \\ \\ \\ \sf : \implies \: \: \: \: \: \: \: \: \: 18270 \: {mm}^{2}$