Question

the area of a triangle is 6 and 3/8 square yards. The height of the triangle is 2 and 1/2 yards. What is the length of the base of the triangle? pls help this is a important question

Answer 1

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• Area of triangle = 6 3/8 yards²
• Height of triangle = 2 1/2 yards

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• Base of triangle = ?

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`\boxed{\mathfrak{area = (1)/(2) * base * height}}`

We are already given the values, Let's plug them and solve for x i.e base

`\bf\: 6 (3)/(8) = (1)/( \cancel2) * x * \cancel2 (1)/(2)`

`\bf \: 6(3)/(8) = x * (1)/(2)`

Convert the mixed number to an improper fraction

`\bf \: (51)/(8) = (1)/(2) x`

Multiply both sides of the equation by 2

`\boxed{ \tt \: x = (51)/(4) }`

➪ Therefore, The base of the triangle is 51/4 yards...~

Answer 2

Note that:

• Area of triangle = 6 3/8 yd²
• Height of triangle = 2 1/2
• Area of triangle = 1/2 x base x altitude

Use the formula to find the base of the triangle.

• 1/2 x base x altitude = 6 3/8 yd²
• => 1/2 x base x 2 1/2 = 6 3/8 yd²
• => 1/2 x base x 5/2 = 6 3/8 yd²
• => 5/4 x base = 6 3/8 yd²
• => base = 6 3/8 ÷ 5/4 yd
• => base = 51/8 x 4/5 yd
• => base = 51/2 x 1/5 yd
• => base = 51/10 yd

The length of the base is 51/10 yards.