Riya designs a rectangular kite where the longer diagonal is 4 cm more than the shorter diagonal x. The area of the kite, given by 1/2 x product of diagonals, is 96 sq cm. Form the quadratic equation in standard form and find the shorter diagonal x.

Question

Accepted Answer

12. Area = 1/2 x x x (x + 4) = 96, so x(x + 4) = 192, giving x^2 + 4x - 192 = 0 = (x - 12)(x + 16). Positive root x = 12 cm.

Riya designs a rectangular kite where the longer diagonal is 4 cm more than the shorter diagonal $x$ .
The area of the kite, given by $\frac{1}{2} x$ product of diagonals, is 96 sq cm.
Form the quadratic equation in standard form and find the shorter diagonal $x$ .

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More Class 10 Standard Form and Roots practice

Riya designs a rectangular kite where the longer diagonal is 4 cm more than the shorter diagonal x.The area of the kite, given by 21​x product of diagonals, is 96 sq cm.Form the quadratic equation in standard form and find the shorter diagonal x.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Standard Form and Roots practice

Riya designs a rectangular kite where the longer diagonal is 4 cm more than the shorter diagonal $x$ .
The area of the kite, given by $\frac{1}{2} x$ product of diagonals, is 96 sq cm.
Form the quadratic equation in standard form and find the shorter diagonal $x$ .