The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
5 : 16
Step 1: Find the side of the square.
Since **Area of Square = Side × Side**,
Side = \( \sqrt{4096} = 64 \) cm.
Step 2: Find the length and breadth of the rectangle.
Length = **2 × Side** = **2 × 64** = **128 cm**.
Breadth = **Side - 24** = **64 - 24** = **40 cm**.
Step 3: Find the ratio of breadth to length.
Ratio = **40 : 128** = **5 : 16**.
Thus, the correct answer is **"5 : 16."**
Important Questions from Direction and Distance Stops
Six houses, A, B, C, D, E and F, are situated in a colony. D is 60 m south of E. F is 40 m south of B. A is 30 m north of E. F is 50 m east of A. C is 50 m west of B. Find the location of C with reference to A.
One morning, Chitrashi and Ayaan sit facing each other. If the shadow of Ayaan falls to the left of Chitrashi, then in which direction is Ayaan facing?
What should come in place of the question mark (?) in the given series?
28 39 53 70 90 ?Pranay starts from Point A and drives 8 km towards east. He then takes a right turn, drives 11 km, turns right and drives 12 km. He then takes a right turn and drives 13 km. He takes a final right turn, drives 4 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)
A child went 90 feet in the west to look for his father, then he turned right and went 20 feet. After this, he turned right and walked 30 feet to reach his uncle's house. His father was NOT there. From there he went 100 feet to his south and met his father. How far did he meet his father from the starting point?
