- 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.
Let the length of the rectangle be 5x, and breadth be 3x, Perimeter of a rectangle = 2(l +b) = 480 2(5x + 3x) = 480 2 x 8x = 480 16x = 480 x = 480/16 = 30 ∴ Length = 5 x 30 = 150 m Breadth = 3 x 30 = 90 m And, Area of rectangle = L x B = 150 x 90 = 13500 m2
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.
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.
Ratio between the sides of rectangle = 3: 4 Let the ratio constant be x then, Length = 3x and breadth = 4x Area = L x B 7500=3x × 4x=12x^2 7500/12= x^2=625 x=25 Length = 3 x 25 = 75 m, and Breadth = 4 x 25 = 100 m Perimeter = 2(75 + 100) = 2 x 175 = 350 m Cost of fencing 1 meter = 25 paise Cost of fencing 350 m = 350 x 25 = 8750 paise In rupees: Rs. 87.50
Area of the square = 1/2 (diagonal)^2= 1/2x7.2^2≡ 7.2x7.2/2=25.92 m2
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.
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%.