Math, asked by aymen12428, 1 year ago

Plz help plz plz plz

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Answered by Anonymous
1
Area of trapezoid = 1/2(a+b)h
16 = 1/2(a+b)4
32/4 = a+b
8 = a+b
8 = 5+b
b = 8-5 = 3cm
Answered by Anonymous
29

ANSWER:-

Given:

Area of a trapezium is 16cm², length of one parallel side is 5cm & distance between two parallel side is 4cm.

To find:

The length of the other parallel side.

Explanation:

We have,

  • Area of trapezium=16cm²
  • Height of the trapezium=4cm
  • Length of one parallel side,R= 5cm

We know that area of trapezium:

\frac{1}{2} *(sum\:of\:parallel\:side)*height

A/q

Let the other parallel side be M cm

→ Area of trapezium=\frac{1}{2} *(R+M)*h

→ 16cm² = \frac{1}{2} *(5+M)*4

→ 16cm² × 2= (5+M)4

→ 32cm²= 20+4M

→ 32-20= 4M

→ 12= 4M

→ 12/4= M

→ 3= M

∴ M= 3cm

Thus,

The length of other parallel side is 3cm.

  • Check the answer:

Putting the value of M in area of trapezium:

⇒ 16cm² = 1/2×(5+3)× 4

⇒ 16cm² = (1/2× (8)×4)cm²

⇒ 16cm² = (1/2 × 32)cm²

⇒ 16cm² = (32/2)cm²

⇒ 16cm² = 16cm²  checked

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