A rectangular paddock is of area 7 ha. One side is 600 m long. Then the other side in metres is? An obtuse angle is an angle which is? Which is the best description of a square? A... A rectangular paddock is of area 7 ha. One side is 600 m long. Then the other side in metres is? An obtuse angle is an angle which is? Which is the best description of a square? A rectangular prism is 9 cm long, 8 cm wide and 3 cm high. A cube has the same volume as the prism. The side of the cube in centimetres is? 3 x 0.02 x 4 is equal to? 357.619 rounded off to the nearest thousand is? Which expression is not equal to 36? How many square centimetres are in 1 square metre? A truck travels 7 km for each litre of fuel. If fuel costs 89 cents per litre, how much in fuel would a journey of 203 km cost? Approximately.
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Understand the Problem
The question consists of multiple mathematics problems covering various topics such as geometry, area, volume, and arithmetic. Each question requires solving calculations or understanding geometric properties.
Answer
The other side is approximately $117 \text{ m}$.
Answer for screen readers
The other side is approximately (117 \text{ m}).
Steps to Solve
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Convert Area from Hectares to Square Meters The area is given as (7 \text{ ha}) (hectares). To convert hectares to square meters, use the conversion factor: $$ 1 \text{ ha} = 10,000 \text{ m}^2 $$ So, $$ 7 \text{ ha} = 7 \times 10,000 \text{ m}^2 = 70,000 \text{ m}^2 $$
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Determine One Side Length One side of the rectangle is given as (600 \text{ m}). Let the other side be (x \text{ m}).
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Set Up Equation Using Area The area of a rectangle is given by the formula: $$ \text{Area} = \text{length} \times \text{width} $$ Substituting the values we have: $$ 70,000 = 600 \times x $$
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Solve for the Other Side Rearranging the equation to find (x): $$ x = \frac{70,000}{600} $$
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Calculate the Value Now, perform the division: $$ x = \frac{70,000 \div 100}{600 \div 100} = \frac{700}{6} = 116.67 $$
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Round to Appropriate Measurement Rounding (116.67) yields approximately (117) meters.
The other side is approximately (117 \text{ m}).
More Information
A hectare is a unit of area commonly used in land measurement. It equals (10,000) square meters, which is helpful for understanding land areas.
Tips
- Not converting hectares to square meters, resulting in incorrect area calculations.
- Incorrectly applying the area formula, assuming the sides are equal when they are not.
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