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## WILL GIVE BRAINLIEST!! If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a squa

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WILL GIVE BRAINLIEST!!

If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square, the area of which will be 40 cm2 greater than the area of the rectangle. Find the area of the rectangle.

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Mathematics
5 months
2021-08-25T17:30:09+00:00
2021-08-25T17:30:09+00:00 2 Answers
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## Answers ( )

Answer:The rectangle is 15 cm by 24 cm, and its area is 360 cm^2.

hope this helps 🙂 plz brainliest

Step-by-step explanation:Answer:Step-by-step explanation:Let,

The length of rectangle = x

The width of rectangle = y

The length of square = x – 4

The width of square = y + 5

Area of rectangle = xy

Area of square = xy + 40

Condition No. 1:Area of Square = Length of square * Width of square

xy + 40 = (x – 4)(y – 5)

xy + 40 = xy – 5x – 4y + 20

– 5x – 4y = 40 – 20

– 5x – 4y = 20

5x + 4y = -20 ——————(1)

Condition No. 2:We know that:

Length of square = Width of square

x – 4 = y + 5

Add 4 to both sides

x = y + 5 + 4

x = y + 9 —————————(2)

Solution:

Put Eq. (2) in (1)

5 (y + 9) + 4y = -20

5y + 45 + 4y = -20

9y + 45 = -20

9y = -20-45

y = -65 / 9Now, Put the value of y in Eq. (2)

x = (-65 / 9) + 9

x = (-65 + 81) / 9

x = 16 / 9 cmNow,

Area of rectangle = xy

Area = ( -65 / 9 ) * ( 16 / 9 )

Area = (-65*16) / (9*9)

Area = -1040/81

Area = 12.8 cm²(Neglecting -ve sign)Hope this helped!

## ~AH1807