Answer:
7.4% increase (approximated)
Step-by-step explanation:
✔️Dimension of the original rectangle:
Length = 30 cm
Width = 20 cm
Perimeter = 2(L + W) = 2(20 + 30) = 2(50) = 100 cm
✔️Dimension of new rectangle:
Length is increased by 10% = 10/100 × 30cm = 3 cm
New length = 30 + 3 = 33 cm
Width is increased by 5% = 5/100 × 20cm = 1 cm
New width = 20 + 1 = 21 cm
✔️Perimeter of New rectangle = 2(L + W) = 2(33 + 21) = 2(54) = 108 cm
✔️Percentage increase in the perimeter of the rectangle = (perimeter of New rectangle - perimeter of original rectangle)/perimeter of original rectangle × 100
= (108 - 100)/108 × 100
= 8/108 × 100
≈ 7.4% increase
