Question

b
6. what is the area of trapezium QRSTO
all 22cm2
f
8cm
a
be 27cm²
4 cm
21 38 cm²
b
d. 48 cm2
S
thom
sim​

Answer 1

Answer:

84

Step-by-step explanation:

Given:

Area of the trapezium =1586 cm  

2

 

Distance between the parallel sides =26 cm  

And, length of one parallel side =38 cm  

Let us suppose the length of the other side to be x cm.  

Now, area of the trapezium =  

1/2× (Sum of the parallel sides)× (Distance between the parallel sides)

⇒1586=  1/2 ×(38+x)×(26)

⇒1586=  26/2  ×(38+x)

⇒13×(38+x)=1586

⇒38+x= 1586/13

​⇒38+x=122

⇒x=122−38=84 cm

Hence, the length of the other parallel side is 84 cm.