Here is a rectangle ABCD.

A B
20cm

C D
30cm

The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.

Find the percentage increased in the perimeter of the rectangle

8%

Step-by-step explanation:

Original perimeter is 100cm

The 20cm is representative of the width 30cm is representative of the length

length is increased by 10%

30+(.10 x 30)(1 + .10) × 30(100% + 10%) × 30 110% × 30110 ÷ 100 × 30110 × 30 ÷ 1003,300 ÷ 100= 33

length is increased by 5%

20 + (5% × 20) =20 + 5% × 20 =(1 + 5%) × 20 =(100% + 5%) × 20 =105% × 20 =105 ÷ 100 × 20 =105 × 20 ÷ 100 =2,100 ÷ 100 == 21

New perimeter: 108 cm

Percentage increase:

(108-100):100*100 =(108:100-1)*100 =108-100 = 8= 8%

Hopefully this helps

a + b = b + a is the answer