The perimeter of a rectangle is 64 cm. The length of the rectangle is 3 times of its breadth. What is the length (in cm) of its diagonal?
Show answer & explanation
Correct answer: A
Explanation
Given:
Perimeter = 64 cm
Length = 3 × Width
According to the formula:
Perimeter = 2(Length + Width)
Diagonal² = Length² + Width²
64 = 2(3w + w)
64 = 2(4w)
64 = 8w
w = 8
Length = 3 × 8 = 24
Diagonal² = 24² + 8²
= 576 + 64
= 640
Diagonal = √640 = 8√10 cm