A rectangular park has perimeter 80 m and area 375 sq m.
Taking one side as $x$ m gives $x^{2} - 40 x + 375 = 0$ .
Using the formula, the longer side measures:

Question

A rectangular park has perimeter 80 m and area 375 sq m. Taking one side as x m gives x^2 - 40x + 375 = 0. Using the formula, the longer side measures:

Accepted Answer

25 m. Perimeter 80 m means the two sides add to 40, so the other side is 40 - x and x(40 - x) = 375 => x^2 - 40x + 375 = 0. D = 1600 - 1500 = 100, √D = 10. x = 40 ± 10/2 = 25 or 15. The sides are 25 m and 15 m, so the longer side is 25 m.

A rectangular park has perimeter 80 m and area 375 sq m.
Taking one side as $x$ m gives $x^{2} - 40 x + 375 = 0$ .
Using the formula, the longer side measures:

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

A rectangular park has perimeter 80 m and area 375 sq m.Taking one side as x m gives x2−40x+375=0.Using the formula, the longer side measures:

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

A rectangular park has perimeter 80 m and area 375 sq m.
Taking one side as $x$ m gives $x^{2} - 40 x + 375 = 0$ .
Using the formula, the longer side measures: