please tell the answer of question no 21
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Answers
Given Data :
- Area of Trapezium Shaped Field = 480 cm²
- Distance Between Two Parallel Sides = 15 m
- One of the Parallel Side = 20 m
To Find : Measure of Other Parallel Side in the Trapezium
Answer : Measure of Other Parallel Side = 44 m
Step By Step Solution :
➤ Let Other Parallel Side be x
- Area of Trapezium Shaped Field = 480 cm²
- 1/2 × Sum of Parallel Sides × Distance Between Them = 480 m²
- 1/2 × Sum of Parallel Sides × 15 m = 480 m²
- 1/2 × (20 m + x) × 15 m = 480 m²
- [1/2 × (20 m + x) × 15 m]/15 m = 480 m²/15 m
- 1/2 × (20 m + x) = 32 m
- 1/2 × (20 m) + 1/2 × (x) = 32 m
- 10 m + (x/2) = 32 m
- x/2 = 32 m - 10 m ⇒ x/2 = 22 m ⇒ x = 22 × 2 m ⇒ x = 44 m
Step-by-step explanation:
Area of Trapezium Shaped Field
480 cm
Distance Between Two Parallel
Sides 15 m
One of the Parallel Side = 20 m
To Find : Measure of Other Parallel Side
in the Trapezium
Answer: Measure of Other Parallel Side
44 m
Step By Step Solution:
>Let Other Paralel Side be x
.Area of Trapezium Shaped Field =
480 cm
.1/2 x Sum of Parallel Sidesx
Distance Between Them = 480 ms
1/2 x Sum of Parallel Sides x 15 m =F
480 m
.1/2 x (20 m +x)x 15 m 480 m2
(1V2 x (20 mtx)*15 m]/15 m = 480
m/15 mn
.1/2 x (20 m +x) = 32 m
1/2 x (20 m) +1/2 x (x) = 32 m
10 m+ (x/2) = 32 m
>Let Other Parallel Side be x
.Area of Trapezium Shaped Field =
480 cm
.1/2 x Sum of Parallel Sides x
Distance Between Them = 480 m
.1/2 x Sum of Parallel Sides x 15 m =
480 m
1/2 x (20 m+x) x 15 m= 480 m
[1/2 x (20 m+x) * 15 m/15 m = 480
m/15 mn
.1/2 x (20 m +x)= 32 m
.1/2 x (20 m) + 1/2x (x) = 32 m
.10 m + (x/2) = 32 m
x/2 = 32 m- 10 mx/2 = 22 m X
22 * 2 m » X= 44 m