Question

if the length of a rectangle is increased by 5 metres and the breadth decreased by 3 metres, the area would decrease by 5 square metres. if the length is increased by 3 metres and breadth increased by 2 m, the area would increase by 50 square meters. what are the length and breadth​

Answer 1

Answer:

please see the attachment

Answer 2

Answer:  

Length of rectangle is $\frac{169}{24}$ m  

Breadth of rectangle is $\frac{53}{8}$ m

Solution:  

Given Data:

According to the question:

Length = x meter

Breadth= y meter  

Area = x $\times$ y meter

Area = Length $\times$ Breadth

Step-by-step explanation:

Step 1:  

$(x+5) \times (y-3)$

Xy-3x+5y-15=xy-3

Step 2:

-3x+5y=-3

-3x+5y=12 ---------------------- (1)

Step 3:

Now second case:

(x+3) $\times$ (y+3)=xy+50

Step 4:

Xy = 3x+3y+9=xy+50

3x+3y=41…………. (2)

Now substitute equation 1 and equation 2

Step 5:  

Y= $\frac{53}{8}$ m

Putting value in equation (2)

3x+3y=41

3 x+3 $\times$ \frac{53}{8}=41

Step 6:

Result:

3x=41- $\frac{159}{8}$

X=328 - $\frac{159}{8}$

X= $\frac{169}{24} m$