Skip to main content
Sarkari MCQs Government Exam Question Bank
Menu
Question no. 56403

A rectangle has a 60m perimeter. If its length is twice its breadth, what is its area__________?

Select your answer for: A rectangle has a 60m perimeter. If its length is twice its breadth, what is its area__________?
Show answer

Answer: C. 200m2

Explanation

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 yields an enclosed area of two hundred square meters. Rectangle perimeters measure the total distance around the outer boundary of the shape. Length to breadth ratios allow simplifying perimeter equations into single variable expressions. Area is calculated as the product of perpendicular length and breadth dimensions.

Construction planning requires calculating floor areas from known perimeter and proportion constraints. Real estate professionals use perimeter and area dimensions to evaluate property sizes. Basic geometry connects linear boundary measurements with two dimensional space calculations. Option a suggests one hundred sixty square meters which underestimates the correct calculated area. Option b proposes one hundred eighty square meters due to an incorrect dimension calculation. Option d overestimates the area by calculating with incorrect side length values.

Subject
Mathematics
Category
Mathematics
Topic
—
Difficulty
medium

Related questions

Q1. A furniture retailer prices items 24% above cost. If a customer paid Rs. 8339 for a computer table, what was its cost price?

Select your answer for: A furniture retailer prices items 24% above cost. If a customer paid Rs. 8339 for a computer table, what was its cost price?
Show answer

Answer: D. Rs. 6725

A twenty four percent markup means the selling price equals one point two four times the cost price. Dividing the final customer purchase price of eight thousand three hundred thirty nine by one point two four isolates c...

Q2. What is the length of the longest rod that fits inside a 4 m cubic room?

Select your answer for: What is the length of the longest rod that fits inside a 4 m cubic room?
Show answer

Answer: C. 6.928 m

The longest rod inside a three dimensional cube must span diagonally from one bottom corner to the opposite top corner. Multiplying the cube side length by the square root of three yields the exact space diagonal measure...

Q3. How many solid spheres of 6 cm diameter can be melted to form a solid metal cylinder 45 cm high and 4 cm in diameter?

Select your answer for: How many solid spheres of 6 cm diameter can be melted to form a solid metal cylinder 45 cm high and 4 cm in diameter?
Show answer

Answer: C. 5

The volume of a sphere with a six centimeter diameter is calculated using the standard spherical volume formula. The volume of the cylinder is computed using its radius of two centimeters and height of forty five centime...

Q4. A semicircle has a perimeter of 144 cm. What is its radius_________?

Select your answer for: A semicircle has a perimeter of 144 cm. What is its radius_________?
Show 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...

Q5. The perimeter of a rectangle and square are 160m each. The area of the rectangle is less than that it’s square by 100cm meters. The less than that of the square by 100 sq.meters. the length of rectangle is___________?

Select your answer for: The perimeter of a rectangle and square are 160m each. The area of the rectangle is less than that it’s square by 100cm meters. The less than that of the square by 100 sq.meters. the length of rectangle is___________?
Show answer

Answer: C. 50m

Equal perimeters for a rectangle and square restrict their possible dimensions based on mathematical optimization principles. The square maximizes area for a given perimeter, meaning any rectangle with the same perimeter...

Q6. A room floor perimeter is 18m. What is the total area of the four walls if its height is 3m?

Select your answer for: A room floor perimeter is 18m. What is the total area of the four walls if its height is 3m?
Show answer

Answer: C. 54 Sq.m

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 b...

New!

Mock Test System is now available!

Prepare for your exam with interactive mock tests. Select your subjects, attempt 100 random MCQs against the clock, and see exactly where you stand.

Start Mock Test