if the area of a Trapezium is 48 CM square find one of its parallel sides if an other parallel sides is of 12 cm and distance between the parallel sides is 6 CM
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if the area of a Trapezium is 48 CM square find one of its parallel sides if an other parallel sides is of 12 cm and distance between the parallel sides is 6 CM
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Verified answer
Answer :
›»› The one of it's parallel sides of a trapezium is 4 cm.
Step-by-step explanation :
Given :
To Find :
Formula required :
Formula of area of a trapezium to calculate the one of it's parallel sides of a trapezium is given by,
→ Area of trapezium = 1/2 × (a + b) × h.
Here,
We know that, height is equal to the distance between the parallel sides.
Units,
Solution :
Let us assume that, the one of it's parallel sides of a trapezium is x cm.
We know that, if we are given with the area of trapezium, other parallel sides of trapezium and distance between the parallel sides, then we have the required formula, that is,
→ Area of trapezium = 1/2 × (a + b) × h.
By using the formula of area of a trapezium to calculate the one of it's parallel sides of a trapezium and substituting all the given values in the formula, we get :
→ 48 = 1/2 × (x + 12) × 6
→ 48 = 1 × (x + 12) × 3
→ 48 = (x + 12) × 3
→ 48/3 = x + 12
→ 16 = x + 12
→ 16 - 12 = x
→ x = 4.
Hence, the one of it's parallel sides of a trapezium is 4 cm.
Verified answer
Answer:
Given :-
To Find :-
Formula Used :-
✪ Area of trapezium = ½ × Sum of parallel sides × Height ✪
Solution :-
Let, the other side of trapezium be x
Given :
According to the question by using the formula we get,
⇒ 48 = ½ × x + 12 × 6
⇒ 48 = ½ × x + 12 × 6
⇒ 48 = x + 12 × 3
⇒ 48/3 = x + 12
⇒ 16 = x + 12
⇒ 16 - 12 = x
⇒ 4 = x
➠ x = 4 cm
∴ The other parallel sides of a trapezium is 4 cm .
Let's Verify :-
↦ 48 = ½ × x + 12 × 6
Put x = 4
↦ 48 = ½ × 4 + 12 × 6
↦ 48 = ½ × 16 × 6
↦ 48 = 8 × 6
↦ 48 = 48
➦ LHS RHS
Hence, Verified ✔