Question

The length of a rectangle is 7 mm longer than its width. Its perimeter is more than 62 mm. Let w equal the width of the rectangle.
a. Write an expression for the length in terms of the width.
b. Use these expressions to write an inequality based on the given information.
c. Solve the inequality, clearly indicating the width of the rectangle.

Answer 1

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Answer 2

thank you!! ^^

Answer 3

What do you think for the first one?

Answer 4

I think for a is L = 7 + w

Answer 5

Yes

Answer 6

then b is 2 (L + w) > 62 L + w > 31 7 + 2w > 31 2w > 24

Answer 7

What do you think for the second one?

Answer 8

I am thinking something like
2(l+w)>62
l+w>31
or
2(w+7)+2w>62

Answer 9

oh...ok!

Answer 10

Do you agree with that?

Answer 11

Based on the last part, I think they are looking for something like the last one I put

Answer 12

then for c

7 + 2w > 31 2w > 24 w > 12
the width of the rectangle is greater than 12 mm.

Answer 13

Where are you getting 7 from?

Answer 14

With this one, 2(w+7)+2w>62, we would distribute the 2, which gives 2w+14+2w>62, then 4w+14>62. Now subtract 14 from both sides. 4w>48 now divide both sides by 4. 2>12 so yes either way is correct.

Answer 15

ok...got it! Thank you @sleepyjess! ^^