Question

An equilateral triangle and a rectangle have the same perimeter. The difference between the sides of the rectangle is 5cm. If the side of the triangle is 20 cm, then find the area of the rectangle?

Q: An equilateral triangle and a rectangle have the same perimeter. The difference between the sides of

Perimeter of the triangle = 3 `xx` [if gte msEquation 12]> × [if !msEquation]--> [endif]--> 20 = 60 cm &there4; Perimeter of rectangle = 2( l + b) = 60 Or, l + b =30 And given that l – b = 5 &there4; 2l = 35 ⟹ l = 17.5cm &there4; Area of the rectangle = l x b = 17.5 `xx` 12.5 = 218.75 cm²

A 238.56cm²

B 136.56cm²

C 218.75cm²

D 218.65cm²

E None of these

Download PDF Practice Next

More Mensuration Questions

The cost of fencing a rectangular field at the rate of Rs. 7/metre is Rs. 350. If the length of the field is 11 metres more than its breadth, then find the length of the rectangular field.
The sum of the perimeters of a square and a rectangle is 132 metres. If the sum of the length and breadth of the rectangle is 34 cm, then find the area of the square.
A candidate just passed by getting 150 answers correct by attempting 225 of the total questions. Find the total number of questions in the examination if a candidate needs 60% marks.(All questions carry equal marks)
If the income tax is increased by 14% then net income is reduce by 6%. Find the rate of income tax?
The area of four walls of a room is 120 cm2. If the length and breadth of the room were equal and the height of the room is 5 cm, then what is the area of the floor?
A rectangular frame of size 100 cm (length) x 120 cm (breadth) is to be surrounded by stickers of 2 cm x 2 cm size. How many stickers would be required for such decoration?
A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is:
If the 4-digit number x67y is exactly divisible by 9, then the least value of (x + y) is _____.
Some students (only boys and girls) from different schools appeared for an Olympiad exam. 20% of the boys and 15% of the girls failed the exam. The number of boys who passed the exam was 70 more than that of the girls who passed the exam'. A total of 90 students failed. Find the number of students that appeared for the exam.
In what ratio coffee at 255 Rs/kg should be mixed with the coffee at 310 Rs/kg so that after mixture its rate become 270 Rs/kg if the quantity of 1st type is 40 kg what will be the quantity of the 2nd coffee?

Question

An equilateral triangle and a rectangle have the same perimeter. The difference between the sides of the rectangle is 5cm. If the side of the triangle is 20 cm, then find the area of the rectangle?

Solution

I Pledged to: