Plz help plz plz plz
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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
16 = 1/2(a+b)4
32/4 = a+b
8 = a+b
8 = 5+b
b = 8-5 = 3cm
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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:
A/q
Let the other parallel side be M cm
→ Area of trapezium=
→ 16cm² =
→ 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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