Let’s look at the problem step by step.
We are given a banner that says “HAPPY BIRTHDAY” with Dr. Seuss characters on it. Below, there is a single letter “H” shown with its dimensions:
- Width of the “H”: 5.3 inches (or 13.4 cm)
- Height of the “H”: 6.7 inches (or 17.1 cm)
The question is asking for the
area of this letter “H”.
Even though the “H” has cutouts and shapes inside (like the Cat in the Hat), we’re being asked to find the area of the entire rectangular shape that contains the letter — not just the colored parts or the character inside. In other words, treat the “H” as if it were a solid rectangle for the purpose of calculating area.
Why? Because in most school-level problems like this, unless told otherwise, you calculate the area using the outer dimensions provided — even if the shape has holes or designs inside. The measurements given (5.3 inch width and 6.7 inch height) are for the full bounding box of the letter.
So, to find the area of a rectangle:
> Area = width × height
Plug in the numbers:
Area = 5.3 inches × 6.7 inches
Let’s multiply:
First, ignore decimals:
53 × 67
Break it down:
50 × 67 = 3350
3 × 67 = 201
Add them: 3350 + 201 = 3551
Now, since 5.3 has one decimal place and 6.7 has one decimal place, total decimal places = 2
So, 3551 becomes 35.51
✔ So, 5.3 × 6.7 = 35.51 square inches
If we want to check using centimeters:
Width = 13.4 cm
Height = 17.1 cm
Area = 13.4 × 17.1
Again, break it down:
13 × 17.1 = 222.3
0.4 × 17.1 = 6.84
Add: 222.3 + 6.84 = 229.14 cm²
But note: 35.51 in² should equal about 229.14 cm² — let’s verify conversion:
1 inch = 2.54 cm → 1 in² = (2.54)² = 6.4516 cm²
So 35.51 × 6.4516 ≈ ?
35 × 6.4516 = 225.806
0.51 × 6.4516 ≈ 3.29
Total ≈ 229.096 — which matches our 229.14 (small rounding difference).
So both units give consistent results.
Since the problem doesn’t specify which unit to use, but gives both, either is acceptable — but typically, if both are given, you can choose one. However, looking at the context, the original measurement is likely intended in inches first (since 5.3 and 6.7 are primary), so we’ll go with square inches.
Final Answer:
35.51 square inches
Parent Tip: Review the logic above to help your child master the concept of dr seuss happy birthday banner printable.