Question

the area of trapwzium is 34 cm square and its height is 4 cm. One of th parallel sides of the trapezium is 10 cm, find the other parallel side​

Answer 1

Correct Question :-

The area of trapezium is 34 cm square and its height is 4 cm. One of the parallel sides of the trapezium is 10 cm, Find the other parallel side.

Answer:-

The other parallel side of trapezium is 7cm.

Step-by-step explanation

To Find :-

The other parallel side of trapezium.

★ Solution

Given that,

• The area of trapezium = 34cm²
• Height = 4cm
• One of the parallel sides of trapezium = 10cm.

As we know that,

Area of trapezium = 1/2 × (a + b) × h,

Where,

» a and b are the two parallel sides of trapezium.

» h is the height.

Here,

» a = unknown parallel side

» b = 10cm

» h = 4cm

» Area = 34

Let's assume the other parallel side as a cm.

According the question,

→ 1/2 × (a + b) × h = Area

→ 1/2 × (a + 10) × 4 = 34

→ 1 × (a + 10) × 4 = 34 × 2

→ 1 × (a + 10) × 4 = 68

→ (a + 10) = 68/4

→ a + 10 = 17

→ a = 17 - 10

→ a = 7

The value of x is 7.

_____________________________

As we assumed the other parallel side of trapezium as x.

• x = 7cm.

Hence, The other parallel side of trapezium is 7cm.