Question

Directions: Write an expression in simplified form to represent the area of the trapezoid. This is algebra 2 by the way.​

Answer 1

Answer:

48x⁷y

Step-by-step explanation:

Area of trapezoid = 1/2(sum of length of parallel sides) * (distance between || sides)

Here,

• Parallel sides = 15x²y and 9x²y
• Distance between them = 4x⁵

Sum of || sides = 15x²y+9x²y = 24x²y(Make sure when you add any two terms, do check if the terms are like terms,then only they'll add)

Put the values:

• Ar(trap.) = 1/2(24x²y)(4x⁵)

= 24x²y*2x⁵ (Cancel)

We know by law of indices that

• a^n * a^b = a^(n+b)

Here considering a = x, n = 2 and b = 5 we get

= 2*24x²+⁵y

= 48 x⁷y