The rectangular backboard of a basketball court needs to be assembled. Its area is given as 18,900 cm2 and the width as 1.8 m.
What is the backboard’s length in metres? m
1.8 m = 180 cm
length = 18900/180 cm
= ..
make sure you express above in metres.
To find the length of the backboard, we need to use the formula for the area of a rectangle:
Area = Length x Width
Given that the area is 18,900 cm^2 and the width is 1.8 m, we can convert the width to centimeters:
1.8 m = 180 cm
Substituting these values into the formula, we have:
18,900 cm^2 = Length x 180 cm
To solve for the length, we divide both sides of the equation by 180 cm:
Length = 18,900 cm^2 / 180 cm
Simplifying the right side:
Length = 105 cm
Therefore, the length of the backboard is 105 cm.
To find the backboard's length, we can use the formula for the area of a rectangle, which is given by:
\( \text{Area} = \text{Length} \times \text{Width} \)
Given that the area is 18,900 cm² and the width is 1.8 m, we need to convert the area to the same unit as the width. Since 1 meter is equal to 100 centimeters, the area in cm² would be:
\( \text{Area} = 18,900 \, \text{cm²} \)
To convert the area from cm² to m², we divide it by 10,000 since there are 10,000 square centimeters in a square meter:
\( \text{Area} = 18,900 \, \text{cm²} / 10,000 = 1.89 \, \text{m²} \)
Now we can rearrange the formula to solve for the length:
\( \text{Length} = \text{Area} / \text{Width} \)
Substituting the given values:
\( \text{Length} = 1.89 \, \text{m²} / 1.8 \, \text{m} \)
Simplifying:
\( \text{Length} = 1.05 \, \text{m} \)
Therefore, the backboard's length is 1.05 meters.