Question

the diagram below shows a trapezium. all the measurements are in centimetres. the area of the trapezium is 30 cm^2 l. Set up and solve a quadratic equation to work out the value of x

Answer 1

Answer:

x²+x-30

x=5

Step-by-step explanation:

The equation is

(x+3+x-1)/2 × x=30

x²+x-30 (it's the quadratic equation)

x²+6x-5x-30=0

x(x+6)-5(x+6)=0

(x+6)(x-5)=0

x=-6

x=5

It's impossible for Length to be negative

So x=5