If the dimensions of a 20cm x 40cm rectangle are each reduced 20. by what percent is the area of 20cm x 40cm rectangle reduced?

Answer 1

The original area of the rectangle is 20 cm × 40 cm = 800 cm². When each dimension is reduced by 20%, the new dimensions become 16 cm (20 cm - 20% of 20 cm) and 32 cm (40 cm - 20% of 40 cm), giving a new area of 16 cm × 32 cm = 512 cm². The reduction in area is 800 cm² - 512 cm² = 288 cm². To find the percentage reduction, divide the area reduction by the original area: (288 cm² / 800 cm²) × 100% = 36%. Thus, the area is reduced by 36%.