Answer:
Option C is correct
unit and
unit
Step-by-step explanation:
Area of a rectangle is given by:
....[1]
where
A is the area of rectangle
l is the length of a rectangle
w is the width of a rectangle.
As per the statement:
A certain rectangle has an area of 
⇒
Now factor this trinomial :

⇒
⇒
unit square
On comparing with [1] we have;
unit and
unit
Therefore,the length and width of the rectangle are:
unit and
unit
It's 3/4
no number line provided for me, but if you find the common denominator (4), and convert 1/2 into 2/4, then adding 2/4+1/4 is easy, and equals 3/4
Answer:
The correct answer is 4√3
Step-by-step explanation:
Consider the triangle ABC.
BC = 12 units. ∠ B = 90°. Let ∠ C = α°.
Now let us consider the triangle BDC.
DC = 4 units. ∠ D = 90°. Let ∠ C = α°.
We find here the angle C is common between both the triangles.
∴ For ΔABC, cos α° =
= 
and for Δ BDC, cos α° = 
Now equating both the equations we get,
= 48
⇒ BC = 4√3
The length of BC is 4√3 units.