Question

Find the answer for the Trapezium below?

Answer 1

? = 11 mm

Explanation:

Area = 121 mm^2

Formula for trapezium: (Base 1 + Base 2)/2 * height = Area

Using what we know: (8+14)/2 * ? = 121

(22/2) * ? = 121

11 * ? = 121

? = 11

Answer 2

? = 11 mm

Explanation:

the area (A) of a trapezium is calculated as

A =
`(1)/(2)` h (b₁ + b₂ )

where h is the perpendicular height between the bases b₁ and b₂

here h = ? , b₁ = 14 , b₂ = 8 and A = 121 , then

121 =
`(1)/(2)` × ? × (14 + 8 )

=
`(1)/(2)` ? × 22 = 11 ? ( divide both sides by 11 )

11 = ?