Algebra

Matrices & Determinants

Easy

Mohan wants to donate a rectangular plot of land for a hospital in his village. When he was asked to give dimensions of the plot, he told that if its length (x) is decreased by 50 m and breadth (y) is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by 5300 m $^2$ .

The area of rectangular field is:

30000 sq. m

3000 sq. m

300000 sq. m

60000 sq. m

✅ Correct Option: 1

With $x = 200$ m and $y = 150$ m:

Area $= x \times y = 200 \times 150 = 30000$ sq. m.

Question 46

The equations in terms of $x$ and $y$ are:

Question 47

The value $x$ is:

Question 48

The value of $y$ is

Question 49

The value of the expression $\frac{x^2 + y^2}{x - y}$ is:

The area of rectangular field is:

Solution

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