Math worksheet with three word problems involving perimeter, reading rate, and savings.

Let’s solve each problem one at a time, step by step.

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Problem #172:

We have a picture that is 5 inches by 7 inches.
It’s surrounded by a frame that is 1½ inches wide all around.

That means the frame adds 1½ inches to each side — left, right, top, and bottom.

So, for the total width (the 5-inch side):
→ Add 1½ inches on the left + 1½ inches on the right = 3 inches total added to width.
New width = 5 + 3 = 8 inches

For the total height (the 7-inch side):
→ Add 1½ inches on the top + 1½ inches on the bottom = 3 inches total added to height.
New height = 7 + 3 = 10 inches

Now we want the perimeter of the whole thing (picture + frame).
Perimeter of a rectangle = 2 × (length + width)

So:
Perimeter = 2 × (8 + 10) = 2 × 18 = 36 inches

✔ Double-check:
Original picture: 5x7
Frame adds 1.5 on each side → so total dimensions become:
Width: 5 + 1.5 + 1.5 = 8
Height: 7 + 1.5 + 1.5 = 10
Perimeter: 2*(8+10)=36 → Correct.

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Problem #173:

Grayson reads 18 pages in 30 minutes.

We want to know how long it takes him to read 150 pages.

First, find his reading rate per page:

If 18 pages take 30 minutes, then 1 page takes:
30 ÷ 18 = 5/3 minutes per page ≈ 1.666... minutes

But maybe easier: How many “18-page chunks” are in 150 pages?

150 ÷ 18 = 25/3 ≈ 8.333...

Each chunk takes 30 minutes, so total time = (25/3) × 30 = 25 × 10 = 250 minutes

Now convert 250 minutes to hours and minutes:

250 ÷ 60 = 4 hours with remainder 10 minutes
(because 4×60=240, 250-240=10)

✔ So answer is 4 hours and 10 minutes

Double-check:
In 30 min → 18 pages
In 60 min → 36 pages
In 240 min (4 hours) → 36 × 4 = 144 pages
Then 10 more minutes → since 30 min = 18 pages, 10 min = 6 pages
Total: 144 + 6 = 150 pages → Perfect.

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Problem #174:

You already have $235 saved.
You get $12 allowance each month.
Bike costs $295.

How many months until you have enough?

Let’s write an equation.

Let m = number of months

Money after m months = 235 + 12m

We want this to equal 295:

235 + 12m = 295

Subtract 235 from both sides:

12m = 60

Divide both sides by 12:

m = 5

✔ So it will take 5 months

Check:
After 5 months: 235 + 12×5 = 235 + 60 = 295 → Exactly enough.

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Final Answer:
Problem #172: 36 inches
Problem #173: 4 hours and 10 minutes
Problem #174: 5 months