Question

The area of a trapezium is 850 sq. cm. One of the parallel sides is 17 cm and 33cm. Find the length of other parallel side

Answer 1

$\huge\mathfrak\pink{Solution:-}$

☘ Correct Question:-

➜ The area of a trapezium is 850 cm². If the height of the trapezium is 33 cm and one of its parallel sides is 17 cm, then find the measure of the other parallel side.

☘ Answer:-

➜ The measure of the other parallel side is 34.51 cm.

☘ Step-by-step explanation:-

➜ We know that the area of a trapezium = 1/2 × h × (the sum of the parallel sides)

Now, it's given that the area of the trapezium = 850 cm².

Also the height and one of the parallel sides of the trapezium is 33 cm and 17 cm respectively.

and we need to find the measure of it's other parallel side.

Let the unknown parallel side of the trapezium be x.

Now, as per the given condition,

1/2 × h × (sum of parallel sides) = area of the trapezium.

↪ 1/2 × 33 cm × (17 + x) cm = 850 cm²

↪ 33/2 × (17 + x) = 850 cm²

↪ 561/2 + 33/2 x = 850 cm²

↪561 + 33x = 1700

↪ 33x = 1700-561

↪ 33x = 1139

↪ x = 1139/33 cm or

34.51 cm.

☞ Therefore, the measure of the other parallel side is 34.51 cm.

___________________________

$<marquee>❤Hope it helps❤$

Answer 2

$\huge\pink{Solution:-}$

☘ Correct Question:-

➜ The area of a trapezium is 850 cm². If the height of the trapezium is 33 cm and one of its parallel sides is 17 cm, then find the measure of the other parallel side.

☘ Answer:-

➜ The measure of the other parallel side is 34.51 cm.

☘ Step-by-step explanation:-

➜ We know that the area of a trapezium = 1/2 × h × (the sum of the parallel sides)

Now, it's given that the area of the trapezium = 850 cm².

Also the height and one of the parallel sides of the trapezium is 33 cm and 17 cm respectively.

and we need to find the measure of it's other parallel side.

Let the unknown parallel side of the trapezium be x.

Now, as per the condition,

1/2 × h × (sum of parallel sides) = area of the trapezium.

↪ 1/2 × 33 cm × (17 + x) cm = 850 cm²

↪ 33/2 × (17 + x) = 850 cm²

↪ 561/2 + 33/2 x = 850 cm²

↪561 + 33x = 1700

↪ 33x = 1700-561

↪ 33x = 1139

↪ x = 1139/33 cm or 34.51 cm.

☞ Therefore, the measure of the other parallel side is 34.51 cm.

___________________________

$<marquee>❤Hope it helps❤$