Question

There is a rectangle of length 22 cm. Find its area if its perimeter is 75 cm.​

Answer 1

A=341cm²

l Length

22

cm

P Perimeter

75

cm

Using the formulas

A=wl

P=2(l+w)

Solving forA

A=Pl

2﹣l2=75·22

2﹣222=341cm²

Answer 2

Step-by-step explanation:

Given:-

• Length of Rectangle = 22cm
• Perimeter of Rectangle = 75cm

To Find:-

• Breadth of Rectangle ?
• Area of Rectangle

Formulae to be used:-

• Perimeter of Rectangle = 2 × (L + B)
• Area of Rectangle = L × B

Where:-

• L denotes Length
• B denotes Breadth

Solution:-

➠ Perimeter of Rectangle = 75cm

➠ Length of Rectangle = 22cm

⠀⠀

➠ Perimeter of Rectangle = 2 × ( L + B )

⠀⠀⠀⠀⠀⠀75cm⠀⠀⠀⠀⠀ = 2 × ( 22 + B )

⠀⠀⠀⠀ ⠀22 + B⠀⠀⠀ = 75/2 = 37.5

⠀⠀

➠ 22 + B = 37.5

➠ Breadth = 37.5 - 22

➠ Breadth = 15.5

∴ Hence, Breadth of Rectangle is 15.5cm

⠀⠀

Now, To find the area by applying the Formula of area!

➠ Area of Rectangle = Length × Breadth

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀= 22 × 15.5

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀= 341cm²

∴ Hence, The area of Rectangle is 341cm²

___________________________________