Question

if the length of rectangle is incraesed by 2 metre and breadth decreased by 4 square metre if the length is decreased by 3metre the area would increase by 9 square metre
A if the length is X and breadth is Y write two equation
B find the length and breadth
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Answer 1

Ꭺηѕωεᖇ:-

Let,

• The length of rectangle be X
• Breadth of the rectangle be Y.
• Area = XY

Then, according to the given condition,

If,

• Length = X + 2
• Breadth = Y - 4
• Area = XY + 9

Ꭲσ Fìи∂ :-

• A. If the length is X and breadth is Y write two equation

• B. Find the length and breadth.

Ꮪσℓυтìσи:-

Question A:

If length = X

If breadth= Y

Two equations that can be formed,

$\bf\red{\implies{x+y = xy}}$

$\sf\red{\implies-4x+ 2y - 8= 8 xy}$

Question B:

Area of the first rectangle = XY

Area of the second rectangle =

$\sf\green{\implies(x + 2)(y - 4) = 9xy}$

$\sf\green{\implies(x)(y - 4) + (2)(y - 4) = 9xy}$

$\sf\green{\implies(xy-4x) + (2y - 8) = 9xy}$

$\sf\green{\implies{xy-4x \: + 2y - 8= 9xy}}$

$\sf\green{\implies-4x+ 2y - 8= 9xy - xy}$

$\sf\green{\implies-4x+ 2y - 8= 8 xy}$

We also knew that,

$\sf\blue{\implies(x + 2)(y - 4) = 9xy}$

$\sf\blue{\implies-4x+ 2y - 8= 8 xy}$

Both these equations had same values.

On equating,

$\sf\blue{\implies((x + 2)(y - 4) = 9xy) = ( - 4x + 2y - 8 = 8xy)}$

[Your qstion had some errors.. So, some values are missing.. on substituting the values in the correct equation, we can find the answer]