The area of a trapezium is 330 cm\(^2\). If the lengths of its parallel sides are 24 cm and 20 cm, find the distance between the parallel sides.
The area of a trapezium is 330 cm\(^2\). If the lengths of its parallel sides are 24 cm and 20 cm, find the distance between the parallel sides.
एक समलंब चतुर्भुज का क्षेत्रफल 330 cm\(^2\) हैं। यदि इसकी समांतर भुजाओं की लंबाई 24 cm और 20cm है, तो समांतर भुजाओं के बीच की दूरी ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
15 cm
Given: Area = 330 cm\(^2\), a = 24 cm, b = 20 cm
Formula of trapezium area: Area = \(\frac{1}{2} \times (a+b) \times\) h
Substitute the values: 330 = \(\frac{1}{2} \times (24 + 20) \times\) h
330 = \(\frac{1}{2} \times 44 \times\) h
330 = \(22 \times\) h
Solve for h: h = \(\frac{330}{22} = 15 \text{ cm}\)
Answer: 15 cm
Similar Practice Questions
A sphere is inscribed inside a cube. The volume of the cube is 1728 $\text{cm}^3$ . What is the total surface area of the sphere?
A sphere is inscribed inside a cube. The volume of the cube is 1728 $\text{cm}^3$...
If the volume of a cylindrical pillar is 924 m\(^3\) and its curved surface area is 264 m\(^2\)then the total surface area is __________.
If the volume of a cylindrical pillar is 924 m\(^3\) and its curved surface area...
A farmer’s land is two adjoining trapezoids: T1 with bases 70m & 50m, height 20m; T2 with bases 50m & 30m, height 15 m. Land costs ₹60/ $m^2$. What is the total land cost?
A farmer’s land is two adjoining trapezoids: T1 with bases 70m & 50m, height 20m; ...
The sides of a triangle ABC are AB = 5 cm, BC = 6 cm and CA = 7 cm, respectively
The sides of a triangle ABC are AB = 5 cm, BC = 6 cm...
If cot $\theta = \frac{14}{3}$, then what is the value of cos $ \theta$ ? ($0^\circ < \theta < 90^\circ )$
If cot $\theta = \frac{14}{3}$, then what is the value of cos $ \theta$ ?...
A triangle ABC has a circle inscribed within it with sides a, b, c. The area of the triangle is A. What is the radius of the inscribed circle?
A triangle ABC has a circle inscribed within it with sides a, b, c. The...
Two spheres of radius 9 units and 10 units are melted to form a sphere of radius 1 unit and another sphere. What is the value of the diameter of the other sphere (in units)?
Two spheres of radius 9 units and 10 units are melted to form a sphere...