- A2%
- B2.02%
- C4%
- D4.04%
Time Taken:
Correct Answer:
Wrong Answer:
Percentage: %
The percentage error in the calculated area of the square is 4.04%.
This is calculated by taking the difference between the actual area and the measured area, and then expressing it as a percentage of the actual area.
In this case, the actual area is 100cm x 100cm = 10000 cm2 and the measured area is 102cm x 102cm = 10404 cm2
The difference (10404 - 10000) = 404 cm2 which is 4.04% of the actual area.
Triangle area = 12 * base * height
As a result, the area is 12 * 5 * 10 = 25 square metres.
Area of a square:
side2 = Area Aptitude × (diagonal)2
= Area Aptitude x 162
= Area Aptitude x 256
= 128 m2
Let the length of the rectangle be 'x' and breadth of the rectangle be 'y' According to the question: 2(x + y) - x = 100 2x + 2y - x = 100 x + 2y = 100 From this we cannot find 'y' (breadth), so the given data is inadequate.
The ratio between the new area and the original area of the square can be found by using the formula for the area of a square and the percentage increase in the side length. The original area of the square is s^2, where s is the side length. After the side length is increased by 50%, the new side length is 1.5s. The new area of the square is (1.5s)^2 = 2.25s^2. To find the ratio between the new area and the original area, we divide the new area by the original area: 2.25s^2 / s^2 = 2.25. Therefore, the ratio between the new area and the original area of the square can be represented as 2.25 : 1 which means for every 1 unit of original area, the new area is 2.25 unit.
Let length = X and breadth = Y. Then, 2 (X + Y) = 92 OR X + Y = 46 AND X^2 + Y^2 = (34)^2 = 1156. Now, (X + Y)^2 = (46)^2 ⇔ (X2 + Y2) + 2XY = 2116 ⇔ 1156 + 2XY = 2116 ⇒ XY=480 ∴ Area = XY = 480 cm2
Let breadth = X. Then, length = 3X. Then, (3X - 9) (X + 9) = 3X * X + 81 ⇒3X2+27X-9X-81=3X2+81 18X=162 ⇒X=9 cm ∴ Length of the rectangle = 9 cm
Let the diagonals of the squares be 3X and 7X respectively. Ratio of their areas = (1/2)*(3X)2 :( 1/2)*(7X)2 = 9X2: 49X2 = 9: 49.
Length of largest tile = H.C.F. of 3034 cm and 1804 cm = 82 cm. Area of each tile = (82 x 82) cm^2. Required number of tiles 3034x1804/82x82 = 37x22=814.
Let each side of the square be X. Then, area = X^2. New side =(116X/100) =(29X/25). New area = (29X/25)^2 Increase in area = (29X/25)^2 - X^2 =841/625X^2 - X^2=216/625X^2 ⇒ Increase% = [(216/625X^2x1/(X^2))*100] % = 34.56%.