A banner is shaped like a trapezium with bases 5 m and 3 m, and height 4m. If printing costs ₹$ 250/m^2$, what is the total cost?
A banner is shaped like a trapezium with bases 5 m and 3 m, and height 4m. If printing costs ₹$ 250/m^2$, what is the total cost?
एक बैनर समलम्ब चतुर्भुज के आकार का है जिसका आधार 5 मीटर और 3 मीटर है, तथा ऊँचाई 4 मीटर हैं। यदि छिपाई की लागत ₹250/ वर्ग मीटर है, तो कुल लागत क्या हैं?
Detailed Solution & Logic
Correct Answer:
₹4, 000
Given:
Bases of trapezium = 5 m and 3 m
Height = 4 m
Printing cost = ₹250 per m²
Area of trapezium
$= \frac{1}{2} \times (sum\ of\ parallel\ sides) \times height$
$= \frac{1}{2} \times (5 + 3) \times 4$
$= \frac{1}{2} \times 8 \times 4$
$= 4 \times 4$
$= 16 , m^2$
Total printing cost
$= Area \times Cost\ per\ m^2$
$= 16 \times 250$
$= 4000$
Similar Practice Questions
The area of a sector is \(18\pi \text{cm}^2\), and its radius is 6 cm. What is the central angle (in radians)?
The area of a sector is \(18\pi \text{cm}^2\), and its radius is 6 cm. What...
If the surface area of a sphere increases by 21%, by what percentage does its volume increase?
If the surface area of a sphere increases by 21%, by what percentage does its...
Two cubes of edge 5 cm are joined to form a cuboid. Find the total surface area of the cuboid.
Two cubes of edge 5 cm are joined to form a cuboid. Find the total...
The lengths of the three sides of a triangle are 6 cm,…
The lengths of the three sides of a triangle are 6 cm, 10 cm and...
A solid sphere of diameter 6 cm is melted and recast into…
A solid sphere of diameter 6 cm is melted and recast into a cylindrical wire...
A spherical tank is filled with water. The radius of the sphere is 6 meters.
A spherical tank is filled with water. The radius of the sphere is 6 meters....
The volume of a prism in 960 \(\text {cm}^3\).
The volume of a prism in 960 \(\text{cm}^3\). If its base area is 80 \(\text{cm}^2\)...