Answer:
The length of each side of the square is (2a-5)units
Step-by-step explanation:
4a^2 - 20a +25
= (2a)^2 - 20a + (-5)^2
=(2a - 5)^2
Since the length of a square given a l produces an area l^2 then the length of the side l is the square root of the area l^2
length of side is therefore square root of (2a -5)^2 which is (2a-5)
The area of a rectangle whose one side is x and the other is y is xy, the product of x and y.
(9a^2 - 16b^2)
= (3a)^2 - (4b)^2 this is the difference of two squares, the factors are therefore
= (3a + 4b) * (3a - 4b)
The dimensions of the rectangle are:
one pair of opposite sides are 3a + 4b
and the other pair of opposite side perpendicular to the first pair is 3a - 4b
