(b)The area of a rectangular painting is 5952 cm2 If the length of the painting is 96 , what is its width?
Let's assume the width of the painting is w cm.
The formula for the area of a rectangle is A = length * width.
Given that the area of the painting is 5952 cm2 and the length is 96 cm, we can substitute these values into the formula and solve for the width:
5952 = 96 * w
To find w, we divide both sides of the equation by 96:
w = 5952 / 96
w = 62
Therefore, the width of the painting is 62 cm.
(a)The area of a rectangular garden is 8148 cm2 If the width of the garden is 84 m, what is its length?
To find the length of the garden, we need to use the formula for the area of a rectangle:
Area = length * width
Given that the area of the garden is 8148 cm2 and the width is 84 m, we need to convert the width from meters to centimeters:
84 m * 100 cm/m = 8400 cm
Now we can substitute the values into the formula and solve for the length:
8148 cm2 = length * 8400 cm
To find the length, we divide both sides of the equation by 8400 cm:
length = 8148 cm2 / 8400 cm
length ≈ 0.9714 cm (rounded to four decimal places)
Therefore, the length of the garden is approximately 0.9714 cm.
To find the width of the rectangular painting, we can use the formula for the area of a rectangle:
Area = Length x Width
Given that the area of the painting is 5952 cm² and the length is 96 cm, we can rearrange the formula to solve for the width:
Width = Area / Length
Substituting the given values into the formula, we get:
Width = 5952 cm² / 96 cm
Now, we can perform the division to find the width:
Width = 62 cm
Therefore, the width of the rectangular painting is 62 cm.
To find the width of the rectangular painting, we need to use the formula for the area of a rectangle, which is:
Area = Length × Width
Given that the area of the painting is 5952 cm^2 and the length is 96 cm, we can substitute these values into the formula:
5952 cm^2 = 96 cm × Width
To solve for the width, we need to isolate the variable. We can do this by dividing both sides of the equation by 96 cm:
5952 cm^2 / 96 cm = Width
This simplifies to:
62 cm = Width
Therefore, the width of the rectangular painting is 62 cm.