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

Solution:

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.

Answer 2

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

$\large{|\underline{\mathtt{\red{T}\blue{o}\orange{\:}\pink{F}\blue{i}\purple{n}\green{d}\red{↯}\blue{}\orange{}}}}$

• Base of triangle = ?

$\large\underline{\underline{\maltese{\blue{\pmb{\sf{\: Explanation :-}}}}}}$

$\boxed{\mathfrak{area = \frac{1}{2} \times base \times height}}$

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

$\bf\: 6 \frac{3}{8} = \frac{1}{ \cancel2} \times x \times \cancel2 \frac{1}{2}$

$\bf \: 6\frac{3}{8} = x \times \frac{1}{2}$

Convert the mixed number to an improper fraction

$\bf \: \frac{51}{8} = \frac{1}{2} x$

Multiply both sides of the equation by 2

$\boxed{ \tt \: x = \frac{51}{4} }$

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