Question

Question 4: Find x for each trapezium.
(a)
Area = 36cm
8cm
4cm

Answer 1

Explanation:

hello :

the area is : A= (b+B)h/2

when : b =8cm B=x h=4cm A= 36cm²

(8+x)(4)/2 = 36 means :2(8+x) = 36

16+2x = 36 so : 2x =36 -16 =20 cm

x=10cm

Answer 2

x = 10

Explanation:

The area (A) of a trapezium is calculated as

A =
`(1)/(2)` h (a + b)

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

Here A = 36, h = 4, a = x and b = 8, thus

`(1)/(2)` × 4 × (x + 8) = 36

2(x + 8) = 36 ( divide both sides by 2 )

x + 8 = 18 ( subtract 8 from both sides )

x = 10