Question

question #3
which expression represents the perimeter of the triangle?
2a + 8
3a + 10
16 + 5a
o 21a + 23
o 18a + 34
o 11a + 23
o 10a + 34
thursday 11.06.25
question #4
the width of a rectangle is 4 units shorter than the length, l. which choice is a
correct expression of the perimeter of the rectangle?
o 4l - 8
o 4l - 4
o 2l - 8
o 2l - 4

Explanation:

Step1: Sum up the lengths of the three sides

The perimeter of a triangle is the sum of the lengths of its three sides.
$$(3a + 10)+(2a + 8)+(16 + 5a)$$

Step2: Combine like - terms

Combine the terms with \(a\) and the constant terms separately.
For the terms with \(a\): \(3a+2a + 5a=(3 + 2+5)a=10a\)
For the constant terms: \(10 + 8+16=34\)
So the sum is \(10a + 34\)

Answer:

\(10a + 34\) (the option corresponding to \(10a + 34\) in the multiple - choice list)