Answer:
Measure of the side parallel to the given base = 9 cm
Step-by-step explanation:
Area of trapezium:
[tex]\boxed{\text{\bf Area of the trapezium =$\bf \dfrac{(a +b)*h}{2}$} }[/tex]
Here, a and b are the length of the parallel sides of the trapezium. h denotes the height of the trapezium
a = 15 cm
h = 8 cm and Area = 96 cm²
Substitute a, h and area in the formula and find the value of 'b'.
[tex]\sf \dfrac{(15 +b)*8}{2}=96\\\\\\[/tex]
Multiply both sides by 2,
(15 + b)*8 = 96*2
(15 + b) * 8 = 192
Divide both sides by 8,
[tex]\sf 15 + b = \dfrac{192}{8}[/tex]
15 + b = 24
Subtract 15 from both sides,
b = 24 - 15
b = 9 cm
