Question

The length of a rectangle is 4 cm more than its breadth. If its
perimeter is 35 cm, find its area.​

Answer 1

Answer:

Let the b=x,l=x+4

perimeter=2(l+b)

=2(x+4+x)

=2(2x+4)

=4x +8=35

=4x=35-8

4x=27

x=27÷4

x=6.75 cm

b=6.75

l=6.75+4

=10.75 cm

area=lb

10.75×6.75

=72.5625 cm^2

Answer 2

Answer:

area = 72.5625 cm²

Step-by-step explanation:

• let breadth = x
• length = 4cm more than breadth = x + 4
• perimeter = 35 cm

FORMULA:

PERIMETER = 2 ( L + B)

$35 = 2((4 + x) + x) \\ 35 = 2(4 + 2x) \\ 35 = 8 + 4x \\ 35 - 8 = 4x \\ 27 = 4x \\ x = \frac{27}{4} \\ x = 6.75$

• breadth = 6.75 cm
• length = 4 + 6.75 = 10.75 cm

FORMULA:

AREA OF RECTANGLE = L × B

= 10.75 × 6.75

= 72.5625 cm²