A rectangle has an area of a^2 – 16 sq. units. Find its sides.
Answers
Answer:
Step-by-step explanation:
area =a²-16
l×b=(a)²-(4)²
l×b=(a+4)(a-4)
(a+4)=0
a=-4
here a is negative
a-4=0
a=4 here a is positive so we can substitute this value in the area
l=a+4=4+4=8cm
b=a-4=4-4=0cm
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Answer:
Volume of each cube = 64 cm3
∴ Total volume of the two cubes = 2 × 64 cm3
= 128 cm3
Let the edge of each cube = x
∴ x3 = 64 = 43
∴ x = 4 cm
Now, Length of the resulting cuboid l = 2x cm
Breadth of the resulting cuboid b = x cm
Height of the resulting cuboid h = x cm
∴ Surface area of the cuboid = 2 (lb + bh + hl) = 2[(2x . x) + (x . x) + (x . 2x)]
= 2[(2 × 4 × 4) + (4 × 4) + (4 × 2 × 4)] cm2
= 2 [32 + 16 + 32] cm2 = 2[80] cm2 = 160 cm2.