This is an example of the Distributive property
By Pythagoreans' theorem,
7.5² = l² × b²
56.25 = l² × b²
Since l = b
56.25 ÷ 2
= l²/b²
= 28.125 mm
∴ l = √28.125
= 5.3033 mm
Area of square
= √28.125 × √28.125
= 28.125 mm²
≈ 28.1 mm² (3s.f.)
Let x represent the smaller. Then x+1 is the greater of the two.
... x+1 = 2x +20
... 0 = x + 19 . . . . . subtract x+1
... x = -19
Your two integers are -19 and -18.
The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.
<u>Interquartile Range: </u>
Given the Data -> First Quartile = 2, Third Quartile = 5
Interquartile Range = 5 - 2 = 3
<u>Range:</u> 8 - 1 = 7
<u>Variance: </u>
We start by determining the mean,

n = number of numbers in the set
Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.

5.3
<u>Standard Deviation</u>
We take the square root of the variance,

2.3
If you are not familiar with variance and standard deviation, just leave it.