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FinnZ [79.3K]
3 years ago
13

The perimeter of the rectangle below is 90 units. find the length of side vy . write your answer without variables.

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
3 0
The picture in the attached figure

we know that
perimeter of a rectangle=2*[base+height]
base=3y+1
height=2y+3
perimeter=90 units
so
90=2*[(3y+1)+(2y+3)]-----> 90=2*[5y+4]----> 10y+8=90----> y=8.2 units

base=3y+1-----> base=3*8.2+1-----> 25.6 units
height=2y+3----> height= 2*8.2+3---> 19.4 units 

the answer is
<span>the length of side vy is (2y+3)-----> 19.4 units</span>

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Combine like terms:

l_{new}=1.2l

Similarly, if we increase our width by 10%, this means that we add 10% or 0.1 of our old width to our old width. So, our new width is:

w_{new}=0.1w+w

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w_{new}=1.1w

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A_{new}=1.2l(1.1w)

Multiply:

A_{new}=1.32lw

Our old area is:

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So, our area increased by a factor of 1.32.

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And we're done!

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Step-by-step explanation:

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