Question

the ratio between the perimeter and the breadth of a rectangle is 26:5 if the area of the rectangle is 1000 sq. cm, what is the length of the rectangle?​

Answer 1

Answer: length = 40cm

Step-by-step explanation: 2(l+b):b=26:5

10l+10b = 26b

10l = 16b

b = 5/8l

Area = l*b=1000

l*5/8l = 1000

l2 = 1600

l=40cm.

Answer 2

Step-by-step explanation:

The ratio between the perimeter and the breadth of a rectangle is 26:5 . If the area of the rectangle is 1000 sq. cm, what is the length of the rectangle?

Solution: (2L+2B):B = 26.5:5, or

26.5B = 10L+10B, or

16.5B = 10L, or

L = 1.65B

LB = 1000, or

B*1.65B = 1000, or

B² = 1000/1.65 = 606.060606,

B = 24.6182982 cm and

L = 40.62019202 cm.

The length of the rectangle = 40.62 cm.