Answer:
Step-by-step explanation:
Area of a rectangle = width × length
Therefore, to find the length of the rectangle, we need to divide the area by the width.
Using long division:
Therefore, the <u>length</u> of the rectangle is:
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Answer:
The best estimate is 90.
Step-by-step explanation:
Given : Quotient 5,397 divided by 62 .
To find : The best estimate of the given situation.
Solution : We solve this by approximating the term and then divide to get solution.
Approximation is rounding off the number
→ When the ones digit is greater than 5 (5, 6, 7, 8, or 9) then it round the number up.
→ When the ones digit is less than 5 ( 0, 1, 2, 3, or 4) then it round the number down.
Approximation of 5397 to hundredth is 5400
Approximation of 62 to tenth is 60
Now, divide 5400 by 60
Therefore, The best estimate is 90.
We can also cross check by actual division of 5397 by 62.
When we approximate 87.04 it round off to 90.
Answer:
Step-by-step explanation:
Formula for the perimeter of a rectangle:
Answer:
Step-by-step explanation:
In rectangle ABCD, AB = 6, BC = 8, and DE = DF.
ΔDEF is one-fourth the area of rectangle ABCD.
We want to determine the length of EF.
First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:
The area of the triangle is 1/4 of this. Therefore:
The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:
Since DE = DF:
Thus:
Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:
Therefore:
Square:
Add:
And finally, we can take the square root of both sides: