Question

kindly solve this MCQ and give me the answer ​

Answer 1

Let the Side of the First Square field be represented by : S

Given : Area of First Square field is 1 hectare

★  We know that : One Hectare = 10000 m²

$:\implies$  Area of First Square field is 10000 m²

★  We know that, Area of a Square is given by : Side × Side

$:\implies$  S × S = 10000

$:\implies$  S² = 10000

$:\implies$  S = 100

$:\implies$  Each Side of First Square field is of length 100 m

Given : Second Square field is broader by 11%

It means : Each Side of Second Square field is 11% more than First Square Field

$:\implies \textsf{Each Side of Second Square Field = S + 11\%S}$

$:\implies \mathsf{Each\;Side\;of\;Second\;Square\;Field = \bigg[S + \dfrac{11}{100} \times S\bigg]}$

$:\implies \mathsf{Each\;Side\;of\;Second\;Square\;Field = \bigg[100 + \dfrac{11}{100} \times 100\bigg]}$

$:\implies \mathsf{Each\;Side\;of\;Second\;Square\;Field = 100 + 11}$

$:\implies \mathsf{Each\;Side\;of\;Second\;Square\;Field = 111\;m}$

$:\implies \mathsf{Area\;of\;Second\;Square\;Field = 111 \times 111}$

$:\implies \mathsf{Area\;of\;Second\;Square\;Field = 12321\;m^2}$

★  Difference between Areas of both Square Fields :

$:\implies$  12321 m² - 10000 m²

$:\implies$  2321 m²