Question

1) The parallel sides of a trapezium are 40 cm and 20 cm. If its non-parallel side
are both equal, each being 26 cm, find the area of the trapezium.

2) The area of trapezium is 960 cm2. If the parallel sides are 34 cm and 46 cm, find
the distance between them.

3) If the Total surface area of a cubical tank is 486 sq.m. what is the length of one
side?

4) The diagonal of a square is 30 cm long. Find its area.​

Answer 1

Answer:

1st QUESTION ANSWER

$\fbox \red{area \: of \: trapezium} = \green {\frac{1}{2} \times 40 \times 20 \times 26} \\ \\ \green { \frac{1}{2} \times 60 \: \times 26} \\ \\ \green {30 \times 26 = 780}$

2nd QUESTION ANSWER

$\fbox \red{area \: of \: trapezium} = \frac{1}{2} \times (34 + 46) \times h \\ \\ 960 = \frac{1}{2} \times (34 + 46) \times \: h \\ \\ h = 960 \div 40 = 24cm$

3rd QUESTION ANSWER

$\fbox \green{area \: of \: cubical \: tank} = 6 {x}^{2} = 486 \\ \\ {x}^{2} = \frac{486}{6} \\ \\ x = \sqrt{ \frac{486}{6}} \\ \\ x = 9m$

4th QUESTION ANSWER

$d _{1} = d _{2} \\ \\ 30cm = 30cm \\ \\ \fbox \pink{area \: of \: square} = d _{1} \times d _{2} \\ \\ 30cm \times 30cm \\ \\ = 900cm^{2}$

I hope it helps you

#SILENT GIRL ANSWER