The numbers 6, 6 are the dimensions making a square of area 36. A rectangle has the same perimeter as this square (perimeter 24) but its area is 35 sq units. Let one side be x. The quadratic x^2 - 12x + 35 = 0 factorises to give the sides. What is the longer side?

Question

Accepted Answer

7. If one side is x, the other is 12 - x (since half-perimeter = 12). Area x(12 - x) = 35 gives x^2 - 12x + 35 = 0 = (x - 5)(x - 7). Sides 5 and 7; longer side is 7.

The numbers 6, 6 are the dimensions making a square of area 36. A rectangle has the same perimeter as this square (perimeter 24) but its area is 35 sq units.
Let one side be $x$ . The quadratic $x^{2} - 12 x + 35 = 0$ factorises to give the sides. What is the longer side?

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More Class 10 Roots by Factorisation practice

The numbers 6, 6 are the dimensions making a square of area 36. A rectangle has the same perimeter as this square (perimeter 24) but its area is 35 sq units.Let one side be x. The quadratic x2−12x+35=0 factorises to give the sides. What is the longer side?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Roots by Factorisation practice

The numbers 6, 6 are the dimensions making a square of area 36. A rectangle has the same perimeter as this square (perimeter 24) but its area is 35 sq units.
Let one side be $x$ . The quadratic $x^{2} - 12 x + 35 = 0$ factorises to give the sides. What is the longer side?