Question

The length of a rectangle is 4 cm more than its breadth and its perimeter is 56 cm. Find the length, breadth and diagonal of a rectangle. ​

Answer 1

Answer:

l=16cm

b=12cm

d=20cm

Step-by-step explanation:

given l=4+b

perimeter=56=2(l+b)

• 56=2(4+b+b)
• 56=8+4b
• 56-8=4b
• 4b=48
• b=48/4=12
• b=12cm
• l=4+b=4+12=16cm
• diagonal = square root l²+b²
• diagonal =
• $\sqrt{12 \times 12 + 16 \times 16}$
• 20cm