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The perimeter of the rectangle belowis 112 units. Find the value of y

User Cbrdy
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1 Answer

7 votes

Question:

Solution:

The perimeter of a rectangle is the sum of the lengths of its sides. According to this, we get the following equation:


P\text{ = 2(4y+2)+2(5y)}

since P = 112, we obtain:


112\text{ = 2(4y+2)+2(5y)}

Applying the distributive property, we obtain:


112\text{ = 8y+4+10y}

this is equivalent to:


18y\text{ = 112-4}

that is:


18\text{ y = 108}

solving for y, we get:


y\text{ = }(108)/(18)=6

that is:


y\text{ = 6}

so that, we can conclude that the correct answer is:


6

The perimeter of the rectangle belowis 112 units. Find the value of y-example-1
User Darpan Rangari
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6.8k points