Calculating Floor Area
The L-shaped floor is composed of two rectangular sections. We calculate the area of each section and sum them to find the total floor area.
- Area of the first rectangle: $6 \, m \times 4 \, m = 24 \, m^2$
- Area of the second rectangle: $8 \, m \times 6 \, m = 48 \, m^2$
- Total floor area = $24 \, m^2 + 48 \, m^2 = 72 \, m^2$
Determining Discount Eligibility
A 10% discount is offered if the tiled area exceeds 70 $m^2$. Since the total area is $72 \, m^2$, the discount condition is met.
Calculating Total Cost Before Discount
The cost of tiles is ₹450 per square meter. We calculate the initial cost for the entire floor area.
Cost before discount = Total Area $\times$ Cost per $m^2$
Cost before discount = $72 \, m^2 \times ₹450/m^2 = ₹32,400$
Applying the Discount
A 10% discount is applied to the total cost.
- Discount amount = $10\% \times ₹32,400 = 0.10 \times ₹32,400 = ₹3,240$
Calculating Final Cost
The final cost is the cost before the discount minus the discount amount.
Total cost after discount = Cost before discount - Discount amount
Total cost after discount = ₹32,400 - ₹3,240 = ₹29,160
Similar Questions
- A large regular polygon is made by combining 6 regular hexagons around a common center. What is the ratio of area of the combined shape to one hexagon?
- A triangular traffic sign has sides measuring 13 m, 14 m, and 15 m. If the cost to paint the sign is ₹5 per square meter, what will be the total expense to paint the entire sign?
- A triangular field with base 40 m and height 30 m shares a side with a rectangle of length 40 m and breadth 25 m. Find the combined area and percentage of the triangle’s area in the total.
- A regular hexagon is inscribed inside a circle of radius 14 cm. Find the area of the hexagon.
- A steel plate is in the shape of a right triangle. The lengths of the legs are in the ratio 5:12. If the hypotenuse is 13 m, what is the area?
- A triangular flag has base and height in the ratio 5:4. If the area is 160 cm², what are the base and height?
- Consider a right trapezoidal field. Its two parallel sides are 30 meters and 50 meters long. One of its non-parallel sides, which acts as the height, measures 20 meters. What is the area of this field?
- A hexagon is drawn inside a circle with a radius of 21 cm. Determine the approximate area of the hexagon.
- A rectangular field has an area of 600 square meters. If its length were increased by 10 meters and its width decreased by 2 meters, the area of the field would remain the same. Find the original dimensions (length and width) of the field.
- A garden is in the shape of a regular hexagon, each side 20 m. If 5% of it is occupied by a circular fountain, find the remaining area.
Important Questions from 2-D Mensuration
- The sides of a rectangular field are 169 m and 154 m long. Its area is equal to the area of a circular field. What is the circumference (in m) of the circular field? Take $\pi = \frac{22}{7}$
- Find the area of a sector with a central angle of 150° in a circle with a radius of 12 cm.
- The area of a square is $2304$ cm$^2$. Its perimeter is equal to the perimeter of a regular hexagon. What is the area (in cm$^2$) of the hexagon?
Calculate the area of the triangle whose sides are 8 cm, 9 cm and 13 cm. (Rounded up to two decimal places)
- The length of a rectangular pitch is 30 m more than its breadth. Its area is $18,271$ m$^{2}$. Its breadth (in m) is:
