QuestionFinding the missing length in a figure
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
15 ft
?
Studdy Solution
STEP 1
What is this asking?
We need to find the length of a missing side in an L-shaped figure, knowing all the other sides and that everything meets at right angles!
Watch out!
Don't just add up all the given numbers!
We need to think about how the sides relate to each other.
STEP 2
1. Break it down
2. Find the horizontal length
3. Find the missing length
STEP 3
Imagine we could **stretch out** the horizontal part at the top (4 ft) and the horizontal part at the bottom (7 ft).
If we did that, the whole horizontal length would be the same as the bottom horizontal length!
STEP 4
The bottom horizontal part is **7 ft** long.
STEP 5
The top horizontal part is **4 ft** long.
STEP 6
If we **combine** these, the total horizontal length would be .
STEP 7
We know the **total vertical length** on the right side is **15 ft**.
STEP 8
We know a **part** of that vertical length is **5 ft**.
STEP 9
To find the **missing length**, we can subtract the known part from the total: .
STEP 10
The missing side length is **10 ft**!
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