Class 10 Maths · Chapter 4

Quadratic Equations

61 Class 10 Maths questions on Quadratic Equations from the NCERT textbook, NCERT Exemplar and CBSE board papers 2026, each with its answer and a step-by-step solution.

NCERT exercises

Exercise 4.1 (2) Exercise 4.2 (6) Exercise 4.3 (0)

NCERT Exemplar exercises

Exercise 4.1 (11) Exercise 4.2 (7) Exercise 4.3 (2) Exercise 4.4 (0)

CBSE Class 10 Maths previous year papers, with answers →

Questions · page 4 of 4

Q61 CBSE 2026
Observe the figure given above. It shows six identical rectangular enclosures made by using fencing wire mesh. These enclosures are used to protect baby animals in a zoo. Dimensions of each enclosure is $x$ feet $\times$ $y$ feet. The total length of fencing required is $152$ feet and area of each enclosure is $80$ square feet. Based on the above, answer the following questions :
Schematic of the six identical rectangular enclosures (2 columns x 3 rows).
1. (i)Write an expression for length of fencing required in terms of $x$ and $y$ .[1]
2. (ii)Write the area of each enclosure in terms of $x$ .[1]
3. (iii)(a)Write the above equation in quadratic equation form and thus find the dimensions of each enclosure using factorisation method.[2]
4. (iii)(b)[OR] Using above equation in quadratic form, solve the equation and find the dimensions of each enclosure using the quadratic formula.[2]
Show answer

(i) Length of fencing $= 8 x + 9 y$ (which equals $152$ feet). (ii) Area of each enclosure $= \frac{152 x - 8 x ^{2}}{9} = 80$ square feet. (iii) The quadratic equation is $x^{2} - 19 x + 90 = 0$ , giving $x = 10$ or $x = 9$ ; taking the whole-number solution $x = 10, y = 8$ , each enclosure is $10$ feet $\times$ $8$ feet.

Step-by-step solution →