Geometry The length of a rectangle is repfesented by 4a + 3b, and its width is represented by 3a 2b. Write a polynomial for the

Question

kirill [66]

3 years ago

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Geometry The length of a rectangle is repfesented by 4a + 3b, and its width is represented by 3a 2b. Write a polynomial for the

perimeter of the rectangle. What is the minimum perimeter of the rectangle if a whole number? 12 and b is a non-zero

Mathematics

1 answer:

Finger [1] · Answer 1 · 2021-12-20T18:53:15+03:00

the correct question is
<span>The length of a rectangle is represented by 4a + 3b, and its width is represented by 3a-2b. Write a polynomial for the perimeter of the rectangle. What is the minimum perimeter of the rectangle if a=12 and b is a non-zero </span>whole number?

we know that
Perimeter of a rectangle=2*[length + width]
length=(4a+3b)
width=3a-2b
so
P=2*[(4a+3b)+(3a-2b)]-----> P=2*[7a+b]-----> P=14a+2b

the answer part a) is
A polynomial for the perimeter of the rectangle is P=14a+2b

Part b)
for a=12
P=14*12+2b---------> P=168+2b
<span>the minimum perimeter of the rectangle is for b=1
</span>so
P=168+2*1-----> P=170 units

the answer part b) is
the minimum perimeter of the rectangle is 170 units