Respuesta :
Answer : The length of each base of the trapezoidal yard are, 36 and 24 feet.
Explanation :
Let the longer base of trapezoid be, x
So, the shorter base of trapezoid is, (x-12)
As we are given that:
Area of trapezoid = 1650 square feet
Formula for the area of trapezoid is:
[tex]A=\frac{1}{2}\times (b_1+b_2)\times h[/tex]
where,
A = area of trapezoid
[tex]b_1[/tex] = longer base length
[tex]b_2[/tex] = shorter base length
h = height
Now put all the given values in the above formula, we get:
[tex]1650=\frac{1}{2}\times (x+(x-12))\times 55[/tex]
By the solving the terms, we get the value of 'x'.
x = 36
Thus, the value of x = 36 feet
The longer base of trapezoid = x = 36 feet
The shorter base of trapezoid = (x-12) = 36 - 12 = 24 feet
Thus, the length of each base of the trapezoidal yard are, 36 and 24 feet.
Answer:
The length of each base of the trapezoidal yard are, 36 and 24 feet.
Explanation :
Let the longer base of trapezoid be, x
So, the shorter base of trapezoid is, (x-12)
As we are given that:
Area of trapezoid = 1650 square feet
Formula for the area of trapezoid is:
where,
A = area of trapezoid
= longer base length
= shorter base length
h = height
Now put all the given values in the above formula, we get:
By the solving the terms, we get the value of 'x'.
x = 36
Thus, the value of x = 36 feet
The longer base of trapezoid = x = 36 feet
The shorter base of trapezoid = (x-12) = 36 - 12 = 24 feet
Thus, the length of each base of the trapezoidal yard are, 36 and 24 feet.
Explanation:
