Question

The length of a rectangle is 5cm more than it's breadth if the perimeter of the rectangle is 38 cm. Find the area.

Answer 1

Step-by-step explanation:

Let breadth be x cm.

then length will be x+5 cm.

Perimeter = 38cm

Also Perimeter = 2(l+b)

38 =2(x+x+5)

38=2(2x+5)

38/2=2x+5

16=2x+5

16-5=2x

11=2x

x=11/2

X= 5.5

length= 5.5 +5. = 10.5cm

breadth = 5.5cm

Now Area = length× breadth

10.5 ×5.5

=57.75cm^2

Answer 2

Answer:

The answer is -9/2cm²

Step-by-step explanation:

let, the breadth of the rectangle be, x cm

so, the length will be, x + 5 cm

and, it's perimeter = 38 cm

we have to find its area

therefore,

perimeter = 2(l + b)

38 cm= 2(x + x + 5)

2(2x + 5) = 38

x +10 = 38/4

x = 19/2 - 10

x = 19 - 20/2

x = -1/2

so, length = x + 5 = 5 + (-1/2) = 9/2 cm

breadth = x = -1/2 cm

now, area = l × b

= 9/2 × -1/2

= -9/2 cm²