Question

The length of diagonal of a rectangle is 37cm, if length of it's shorter side is 12cm , find length of longer side, perimeter and area of rectangle

Answer 1

Given :

• Length of diagonal of rectangle = 37cm
• Length of shorter side of rectangle = 12cm

To find :

• Length of longer side of rectangle
• Perimeter of rectangle
• Area of rectangle

Solution :

• In Rectangle ABCD , In ΔABC
• ∠ABC = 90°     (Right angled)
• AC = 37cm       (Given)
• CB = 12cm       (Given)
• AB = ?
• AB² = AC² - CB²    (Pythagoras Theorem)
• AB² = 37² - 12²
• AB² = 1369 - 144
• AB² = 1225
• AB = √1225
• AB = 35

★ Length of the longer side = 35cm ★

• Perimeter = 2(l+b)
• l is length (longer side)
• b is breadth (shorter side)
• 2 × ( l + b)
• 2 × ( 35 + 12 )
• 2 × 47 = 94

★ Perimeter of the rectangle = 94cm ★

• Area = (lb)
• Area = 35 × 12
• Area = 420

★ Area of the rectangle = 420cm² ★