Lucky and Ajay are given some money each week. If Lucky and Ajay each spend
1 answer:
You might be interested in
Answer:
Li Ping's statement makes sense.
Step-by-step explanation:
The area of a square with side lengths a inches is given by, .
Now, the area of a parallelogram with equal sides a inches, which is not a square is given by, , where, h is the perpendicular distance between the opposite sides.
See the diagram attached.
Since a is the hypotenuse of as right triangle with height h, hence, a > h.
So,
Therefore, Li Ping's statement makes sense. (Answer)
Answer:
15 inches
Step-by-step explanation:
We assume that the edge of the small square is x (inches).
As the edge of the larger square is 2 inches greater than that of the smaller one, so that the edge of the larger square = edge of the small square + 2 = x + 2 (inches)
The equation to calculate the are of a square is: <em>Area = Edge^2 </em>
So that:
+) The area of the larger square is: <em>Area large square = </em><em> (square inches)</em>
+) The area of the smaller square is: <em>Area small square = </em><em>(square inches)</em>
<em />
As difference in area of both squares are 64 square inches, so that we have:
<em>Area large square - Area small square = 64 (square inches)</em>
<em>=> </em><em />
<em>=> </em><em />
<em>=> 4x + 4 = 64</em>
<em>=> 4x = 64 - 4 = 60 </em>
<em>=> x = 60/4 = 15 (inches)</em>
So the length of an edge of the smaller square is 15 inches