Question

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

Answer 1

According to the question,
l-b=23m
then,l=b+23m
perimeter of rectangle=2(l+b)
206=2(b+23+b)
206/2=2b+23
103=2b+23
2b=103-23
2b=80
b=40
therefore, breadth=40m
l=b+23=40+23=63m

Answer 2

Answer:

The area is 2520 m²

Step-by-step explanation:

Solution:

Length and breadth differ by = 23 m

Perimeter = 206 m

Area = ??

Let the -

• Breadth be b
• Length be (b + 23)

★ Perimeter =

⇒ 2(Length + Breadth)

⇒ 2(b + 23 + b) = 206

⇒ 2b + 23 = 103

⇒ 2b = 80

⇒ b = 80/2

⇒ b = 40

Breadth = 40

★ Length =

⇒ 40 + 33

⇒ 63

Length = 63

★ Area =

⇒ Length × Breadth

⇒ 63 × 40

⇒ 2520

Therefore, the area is 2520 m²