Question

What happens to the area of a rectangle when:its length and breadth are both doubled

Answer 1

Step-by-step explanation:

(1)area gets doubled if length is doubled while breadth remains same. ... so area increases by 4 times.

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Answer 2

Answer:

Let’s say that the prior area of the rectangle is S1S1, and that the length and breadth are a1a1 and b1b1, respectively. After the length and the breadth are doubled (a2,b2a2,b2), and the area we seek is S2S2, we can form the following ratio comparison:

S1S2=a1b1a2b2=a1b12a1∗2b1=a1b14a1b1=14S1S2=a1b1a2b2=a1b12a1∗2b1=a1b14a1b1=14

from which it follows that

S1S2=14=>S2=4S1S1S2=14=>S2=4S1

In other words, the initial value of the area will be quadrupled.

Step-by-step explanation:

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