Question

diagonal of a rectangle is 13 cm and length with as 12cm find its perimeter and area

Answer 1

other side will be 5cm
then perimeter wil be 2*(5+12)= 34

Answer 2

Given :-

• Diagonal of reactangle = 13 cm
• Length of reactangle = 12 cm

To Find :-

• The Perimeter and Area of traingle.

Answer :-

• Perimeter of rectangle = 34 cm

• Area of rectangle = 60 cm²

Explaination :-

We know,

D = √b² + l²

Where, D is Diagonal , b is Breadth and l is Length

Now, subsitute the given values in above formula :

→ 13 = √b² + (12)²

→ 13 = √b² + 144

Squaring both sides we get :

→ (13)² = b² + 144

→ 169 = b² + 144

→ 169 - 144 = b²

→ b² = 169 - 144

→ b² = 25

Taking square root to both sides we get :

→ b = √25

→ b = 5 cm

★ According to Question :-

➝ Perimeter of rectangle = 2(Length + Breadth)

➝ Perimeter of rectangle = 2(12 + 5)

➝ Perimeter of rectangle = 2(17)

➝ Perimeter of rectangle = 34 cm

Also,

➻ Area of rectangle = Length × Breadth

➻ Area of rectangle = 12 × 5

➻ Area of rectangle = 60 cm²

Hence,

• Perimeter of rectangle = 34 cm
• Area of rectangle = 60 cm²