Question

The area of a rectangular region A is
440 sq m. The length of a rectangular region B is half the length of the region A and its breadth is half the breadth of A. What is the area of the region B? ​

Answer 1

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Answer 2

Answer:

The area of rectangular region A is 440 sq m. The length of a rectangular region B is half the length of region A and its breadth is half the breadth of A. The area of region B is 110 sq. m.

Step-by-step explanation:

Given: The area of a rectangular region A = 440 sq m.

If the length of rectangular region A = L

And the breadth of rectangular region A = B

Find: What is the area of region B? ​

If length L and Breadth B of rectangular region A.

then the area of rectangular region A = Length × breadth

= L × B

L × B = 440 sq. m ----- (1)

As per the given condition

The length of a rectangular region B is half the length of region A

So, The length of a rectangular region B = L/2

The breadth of a rectangular region B is half the breadth of region A

So, The breadth  of a rectangular region B = B/2

So,  the area of rectangular region B = Length × breadth

= L/2 × B/2

= 1/4 ×  L ×  B

But L × B = 440 sq. m (from (1)

So, the area of rectangular region B =  1/4 ×  440 = 110 sq. m

Hence the area of region B is 110 sq. m.