- A2%
- B2.02%
- C4%
- D4.04%
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.
The area of a right angled triangle = ½ * base * height Base = 10, Hypotenuse = 20 Height2 = Hypotenuse2 - Base2 = 202 - 162 = 400 - 256 Height2 = 144 Height = 12 Area = ½ * base * height = ½ * 10 * 12 = 60 meters
Perimeter of Square = 4 x side 4 x side = 24 Side = 24/4 = 6 cm One of the sides of the square is 6 cm.
Area of a square = 1/2 (diagonal) 2 = 1/2 (40)2 = 1/2 * 1600 = 800 sq. m.
Parallel sides of a trapezium = 6 cm, and 10 cm Area of trapezium = 1/2( sum of the parallel sides ) × distance between the parallel sides 32= 1/2( 6+10 ) × distance 32=8 × distance Distance = 32/8 = 4 cm So, the distance between the parallel lines of trapezium = 4 cm.
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.
When d1 and d2 are the diagonals of rhombus then, The Side of rhombus = Area Aptitude Area Aptitude Squaring both sides 202 = 16^2 + d2^2 400 = 256 + d2^2 d2^2 = 400 - 256 d2 = √144 d2 = 12 Area of rhombus =1/2( d1 × d2 ) =1/2 ( 16 × 12 )=96 cm^2
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
Side of first square = (80/4) = 20 cm; Side of second square = (64/4)cm = 16 cm. Area of third square = [(20)^2 - (16)^2] cm^2 = (400 - 256) cm^2 = 144 cm^2. Side of third square = √144 cm = 12 cm. Required perimeter = (12 x 4) cm = 48 cm.