Question

The area of a square is 64m2. If the length of each side of the square is doubled, what will be the area of the new square? Step by step pls

Answer 1

Answer:

256 sq m

Step-by-step explanation:

Let initial side length of square be x meters.

$\therefore \: area \: of \: square \: = {x}^{2} \\ \therefore \:64 = {x}^{2} \\ \therefore \:x = \sqrt{64} \\ \therefore \:x = 8 \: m \\ \because side \: of \: square \: is \: doubled \\ \therefore \: new \: side \: length \\ \: \: \: \: \: = 2x = 2 \times 8 = 16 \: m \\ area \: of \: new \: square \\ = {16}^{2} = 256 \: {m}^{2}$

Hence, area of new square = 256 sq. m.

Answer 2

Answer:

256 m²

Step-by-step explanation:

Area of square = side²

64 = s²

s = 8

Double the length: 2s = 2(8) = 16m

Area = 16²

= 256 m²