A.
(64x<span>² + 96x + 36) / (16x + 12)
= 4(16x</span><span>² + 24x + 9) / 4(4x + 3)
= 4*(4x + 3)(4x + 3) / 4(4x + 3)
= 4x + 3
b.
1.79 x 10^5 = 1.79 * 100,000 = 179,000
c.
(5.9736 x 10^24) + (4.8685 x 10^24)
= (5.9736 + 4.8685) x 10^24
= 10.8421 x 10^24
= 1.08421 x 10^25</span>
The inscribed circle has its center at the point of intersection of the angle bisectors, which also happen to be the medians. Hence the altitude of the triangle is 3 times the radius, or 12 inches.
The side length of this triangle is 2/√3 times the altitude, so the area is
... Area = (1/2)·b·h = (1/2)·(24/√3 in)·(12 in)
... Area = 48√3 in² ≈ 83.1384 in²
The answer is 27.1052631579 or 27.1 if you rounded "m" to .10
Perimeter of a rectangle = 2 (length + breadth)
or, 56 = 2(2.5 breadth + breadth)
or, 56 = 7*breadth
breadth = 56*7 = 8 cm
length = 2.5*8 = 20 cm