Looking at the image you uploaded, I can see a math worksheet with several geometry problems. You’ve highlighted
Problem #7: “yard with sandbox”, which asks to find the area of the shaded region.
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📌 Problem 7: Yard with Sandbox
Given:
- A rectangular yard that is
20 ft long and
15 ft wide.
- Inside the yard, there’s a
square sandbox that is
7 ft by 7 ft.
- The
shaded region is the
yard minus the sandbox — meaning we need to find the area of the grass (or ground) around the sandbox.
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✔ Step-by-Step Solution:
#### Step 1: Find the area of the entire yard
The yard is a rectangle:
> Area = length × width
> Area = 20 ft × 15 ft =
300 ft²
#### Step 2: Find the area of the sandbox
The sandbox is a square:
> Area = side × side
> Area = 7 ft × 7 ft =
49 ft²
#### Step 3: Subtract sandbox area from yard area
> Shaded area = Area of yard – Area of sandbox
> Shaded area = 300 ft² – 49 ft² =
251 ft²
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✔ Final Answer: 251 ft²
Looking at the answer key at the bottom of the page, this corresponds to option
U.
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💡 Explanation Summary:
We’re finding the area *not* covered by the sandbox — so we calculate the total area of the yard and subtract the area taken up by the sandbox. This is a common “composite figure” problem where you subtract one area from another to find the remaining shaded region.
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✔ Answer: U) 251 ft²
Parent Tip: Review the logic above to help your child master the concept of why do elephants have ivory tusks worksheet answers.
