A room floor perimeter is 18m. What is the total area of the four walls if its height is 3m?
Show answer Hide answer
Answer: C. 54 Sq.m
Explanation
The total area of the four walls of a room is calculated by multiplying the floor perimeter by the height. The given perimeter of the floor is eighteen meters and the height is three meters. Multiplying eighteen meters by three meters results in a total wall area of fifty four square meters. The four walls of a standard rectangular room form a lateral surface area around the perimeter. Lateral area formulas simplify wall calculations by combining length and breadth into a single perimeter. Square meters measure two dimensional surface coverage areas in standard metric units.
Painters and interior decorators calculate wall surface areas to estimate paint and wallpaper requirements. Construction estimators use perimeter and height data to determine drywall and insulation needs. Building maintenance planning relies on accurate room surface measurements for renovation budgeting. Option A underestimates the wall area by misapplying the perimeter and height multiplication. Option B represents an incorrect calculation that does not match the product of eighteen and three. Option D overestimates the wall area by incorrectly doubling the correct surface calculation.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. A rectangle has a 60m perimeter. If its length is twice its breadth, what is its area__________?
Show answer Hide answer
Answer: C. 200m2
The perimeter of a rectangle is equal to twice the sum of its length and breadth. Given the perimeter is sixty meters and length is twice breadth, dimensions evaluate to twenty and ten. Multiplying length by breadth yiel...
Q2. A rectangle's length increases by 10% and breadth drops by 10%. What is the area of the resulting rectangle_________?
Show answer Hide answer
Answer: C. Decreased by 1%
Sequential percentage modifications to rectangle dimensions alter total area through compounded multiplicative scaling factors. Scaling length by a factor of one point one and breadth by zero point nine results in zero p...
Q3. A semicircle has a perimeter of 144 cm. What is its radius_________?
Show answer Hide answer
Answer: B. 28 cm
The perimeter formula for a semicircle includes both the curved arc length and the straight diameter base. Factoring out the radius leaves the expression r multiplied by the sum of pi and two. Solving the equation for r...
Q4. What is the smallest four-digit integer that can be divided without remainder by 15, 25, 40, and 75_________?
Show answer Hide answer
Answer: C. 9600
The least common multiple of fifteen, twenty five, forty, and seventy five is calculated as six hundred. Dividing the smallest four digit number by six hundred identifies the lower bounding multiplier. Multiplying six hu...
Q5. Two squares have perimeters of 48 cm and 20 cm. Find the perimeter and diagonal of a square whose area equals their combined sum.
Show answer Hide answer
Answer: B. 13√2 cm
Combining the areas of the two smaller squares yields a total combined area of one hundred sixty-nine. Extracting the square root of one hundred sixty-nine determines the side length of the new square as thirteen. Multip...
Q6. How many rotations will a wheel of diameter 7/11 m make over a distance of 4 km:_________?
Show answer Hide answer
Answer: D. 2000
The circumference of the wheel is calculated by multiplying pi by the given diameter value. Multiplying twenty two over seven by seven over eleventh gives a rolling distance of two meters per rotation. Dividing the total...