Question

There is a square park in our locality. The area of a rectangular park is 78 sqm. less than the
twice of the area of that square-shaped park whose length is 5m. more than the length of
the side of that park and the breadth is 3m. less than the length of the side of that park. Let
us write by calculating, the length of the side of the square-shaped park.​

Answer 1

$\huge \pink \dag \: \huge {\mathtt{ \underline{ \underline{Question : - }}}}$

There is a square park in our locality. The area of a rectangular park is 78 sqm. less than the twice of the area of that square-shaped park whose length is 5m. more than the length of the side of that park and the breadth is 3m. less than the length of the side of that park. Let

us write by calculating, the length of the side of the square-shaped park.

$\huge { \color{goldenrod}{ \star}} \: { \mathtt{ \underline{Answer : - }}}$

$\bold{let \:length\: be = x cm} \\{ \bold{and \: breadth = x-5 cm}}$

ATQ

$\bold{x,(x-5)=2(x-5) {}^{2} +6}$

$\bold{x {}^{2} -5x=2x {}^{2}+50-20x+6}$

$\bold{x {}^{2} - 15x + 56 = 0}$