kaziyahf2006
kaziyahf2006 kaziyahf2006
  • 02-06-2020
  • Mathematics
contestada

Find the value of x.

F) 6m
G) 7.5m
H) 15m
I) 21m

Find the value of x F 6m G 75m H 15m I 21m class=

Respuesta :

jimrgrant1 jimrgrant1
  • 02-06-2020

Answer:

x = 6 m

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (a + b)

where h is the perpendicular height and a, b the parallel bases

Here A = 60, h = 8, a = 9 and b = x , thus

[tex]\frac{1}{2}[/tex] × 8 × (9 + x) = 60, that is

4(9 + x) = 60 ( divide both sides by 4 )

9 + x = 15 ( subtract 9 from both sides )

x = 6 m

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