Question
The length of the rectangle is triple its breadth. If
the perimeter of the rectangle is 120 m, then find the area (in m2) of the rectangle.Solution
Let the breadth of the rectangle = x, so the length of the rectangle = 3x Perimeter = 2(l + b) 120 = 2(x + 3x) 60 = 4x x = 15 Breadth = 15 m, Length = 45 m So the area of the rectangle = 15 × 45 = 675 m2
Find area of a trapezium with parallel sides 12 cm and 18 cm, height 10 cm.
What is the height of an equilateral triangle if each of its sides is 4√3 cm?
If two triangles XYZ and ABC are congruent, then which of the following statement(s) is/are true?
I. XY = AB
II. ∠X = ∠A
- Find the distance between the parallel sides of a trapezium whose area is 315 cm² and the lengths of the parallel sides are 15 cm and 21 cm respectively.
- Determine the inradius of an equilateral triangle if its height is 6√3 cm.
The altitude of an equilateral triangle is 6√3 cm. Find the area of the equilateral triangle.
If each side of an equilateral triangle is 12 cm, then its altitude is equal to:
If two triangles EFG and UVW are congruent, then which of the following statement(s) is/are true?
I. EF = UV
II. ∠FEG = ∠UVW
Find the length of AB, if ΔABC ~ ΔRQP and BC = 14 cm, QP = 7 cm and RQ = 5 cm.
- Determine the area of a triangle if its base measures 19.2 cm and its corresponding height is 24.5 cm.
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