Answer:
b = 10
Step-by-step explanation:
The area (A) of a triangle is calculated as
A =
bh ( b is the base and h the height )
Here h = 3x + 15 and A = 15x + 75, thus
× b × (3x + 15) = 15x + 75
Multiply both sides by 2 to clear the fraction
b(3x + 15) = 30x + 150
Divide both sides by (3x + 15)
b =
← factor numerator and denominator
=
← cancel the factor (x + 5) on numerator/denominator
= 
= 10

<h2>
Explanation:</h2>
Step 1. Write the given expression

Step 2. Apply distributive property:

Step 3. Combine like terms:

<h2>Learn more:</h2>
Distributive property: brainly.com/question/10794694
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