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Justine designs a rectangular playground. she modles the perimiter of the playground using the expression 5w+5w+w+w,where w is the width. which statements include an equivilent expression to justines expression with a correct description? select all correct . ( I KNOW YOU CAN JUST CHOOSE A RANDOM ONE BUT PLEASE DONT)
answers choices.
A.the expression 12w shows the peremiter is 12 times the width
B.the expression 10w+2w shows the length of is 10 times the width
C.the expression 5(w+w+w+w+w) shows the perimiter is 5 times the width
D.the expression 2(5w)+2w shows the length is 5 times the width
E. the expression 10+w shows the perimiter is 10 plus the width

Sagot :

Answer: The answer choice I concluded from this problem was, letter [tex]\textbf{B” The expression 10w+2w shows the length of is 10 times the width”}[/tex]

Step-by-step: Hope this helps <3

Answer and Step-by-step explanation:

D is the correct answer.

This is because we see that there are two 5w, and two w

So 2(5w) represents two of the sides combined, and 2w represents two of the other sides combined (the length and width respectively).

The length 5w represents One side, and the width w represents the other side.

This correlates to the answer, which says that the length is 5 times the width, which it is since we see that there is a 5 times w, which w is the width.

A is also correct.

12w is all of the sides added together. 5w + 5w = 10, + w + w equals 12w. 12w is the perimeter.

B, C, and E are incorrect.

B says that the length is 10 times the width, which isn't true. In this situation, the length is 10 times 2w, or 10 times twice the width.

C says 5 times (w + w + w + w + w), which isn't true. If we distributed 5, we would get 5w + 5w + 5w + 5w + 5w, which would equal 25w, which is NOT the perimeter.

E says that 10 + w is the perimeter, which isn't true. We know the perimeter is 12w, so 10 + w can't be what the perimeter is.

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