Question

The area of a trapezium is 600 m2 ; the distance between two parallel sides is 20 m and one of the parallel side is 25 m . Find the other parallel side .

Answer 1

Answer:

trapezium is a parallelogram

Answer 2

Cᴏʀʀᴇᴄᴛ Qᴜᴇsᴛɪᴏɴ :-

• The area of a trapezium is 600 m2 ; the distance between two parallel sides is 20 m and one of the parallel side is 25 m . Find the other parallel side .

Gɪᴠᴇɴ :-

• The area of a trapezium is 600 m².

• The distance between two parallel sides is 20 m. (altitude)

• Length of one parallel side = 25 m.

Tᴏ Fɪɴᴅ :-

• The length of the other parallel side.

Sᴏʟᴜᴛɪᴏɴ :-

• Let the length of other parallel side be x m.

Formula to find the area of trapezium:-

${\boxed{{\bf{ \frac{1}{2} \times (sum \: of \: parallel \: sides) \times altitude }}}}$

• Therefore,

${\bf\purple{ → 600 = \frac{1}{2} \times (25 + x) \times 20}}$

${\bf\purple{→ 600 = (25 + x) \times 10}}$

${\bf\purple{→ 600 \div 10 = (25 + x)}}$

Transporting 10 to LHS :-

${\bf\pink{ → 60 = 25 + x}}$

${\bf\pink{ → 60 - 25 = x}}$

${\boxed{{\bf{∴ x = 35 }}}}$

• So, the length of the another parallel side is 35 m.