Algebra

Matrices & Determinants

Easy

Manjeet wants to donate a rectangular plot of land for a school in his village. When he has asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain same, but if its length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 $m^2$ . If length and breadth of the plot are $x$ and $y$ respectively, then based on above information answer the question.

The length of the plot is:

150 m

400 m

200 m

320 m

✅ Correct Option: 3

Adding the two equations $x - y = 50$ and $2x + y = 550$ : $3x = 600$ , so $x = 200$ m. The length of the plot is 200 m.

Question 46

The length ( $x$ ) and breadth ( $y$ ) of plot satisfy equations:

Question 47

The linear equation involving $x$ and $y$ are written in matrix form as:

Question 49

The breadth of plot is:

Question 50

Area of the rectangular plot is:

The length of the plot is:

Solution

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