15 cm
19 cm
13 cm
21 cm
Correct answer is C
Let the length of the longer side = \(x\) cm
∴ The length of the shorter side = (\(x\) - 6) cm
If we increase each side's length by 2 cm, it becomes
(\(x\) + 2) cm and (\(x\) - 4) cm respectively
Area of a rectangle = L x B
\(A_1 = x(x - 6) = x^2 - 6x\)
\(A_2 = (x + 2)(x - 4) = x^2 - 4x + 2x - 8 = x^2 - 2x - 8\)
\(A_1 + 68 = A_2\) (Given)
⇒ \(x^2 - 6x + 68 = x^2 - 2x - 8\)
⇒ \(x^2 - x^2 - 6x + 2x\) = -8 - 68
⇒ -4\(x\) = -76
⇒ \(x\) = \(\frac{-76}{-4}\) = 19cm
∴ The length of the shorter side = \(x\) - 6 = 19 - 6 = 13 cm
Simplify \(\frac{5+\sqrt{7}}{3+\sqrt{7}}\) ...
Solve \(\frac{1}{3}\)(5 - 3x) < \(\frac{2}{5}\)(3 - 7x)...
A bowl is designed by revolving completely the area enclosed by y = x2 - 1, y = 3 and x ≥ 0 aroun...
Evaluate, correct to three decimal place \(\frac{4.314 × 0.000056}{0.0067}\)...
Find the variance of 2, 6, 8, 6, 2 and 6 ...
In the diagram, PQRS is a parallelogram. Find the value of < SQR ...