Answer:
1. find first the value of x
x + 8 = 4x - 13
8 + 13 = 4x - x
21 = 3x
x= 7
to find the measure of the sides. simply substitute the value of x
7 + 8 = 4(7) - 13
15 = 28 - 13
15 = 15
therefore the measure of the parallel sides is 15cm
2. find the measure of bases
thus,
9 = 1/2 (3x - 7 + 2x + 10)
9 = 1/2 (x + 3)
9= x + 3 / 2
x + 3 = 18
x = 15
substitute the value of x to the given measure of bases
base 1 = 3x-7
= 3(15) - 7
= 45 - 7
= 38
base 2 = 2x+ 10
= 2( 15) + 10
= 30 + 10
= 40
the formula for the perimeter of an isosceles trapezoid is P = a + b + 2c where a as the base 1 b as base 2 and c as the legs. thus,
P = 38 + 40 + 2(5)
= 38 + 40 + 10
= 88 km
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Answers & Comments
Answer:
1. find first the value of x
x + 8 = 4x - 13
8 + 13 = 4x - x
21 = 3x
x= 7
to find the measure of the sides. simply substitute the value of x
7 + 8 = 4(7) - 13
15 = 28 - 13
15 = 15
therefore the measure of the parallel sides is 15cm
2. find the measure of bases
thus,
9 = 1/2 (3x - 7 + 2x + 10)
9 = 1/2 (x + 3)
9= x + 3 / 2
x + 3 = 18
x = 15
substitute the value of x to the given measure of bases
base 1 = 3x-7
= 3(15) - 7
= 45 - 7
= 38
base 2 = 2x+ 10
= 2( 15) + 10
= 30 + 10
= 40
the formula for the perimeter of an isosceles trapezoid is P = a + b + 2c where a as the base 1 b as base 2 and c as the legs. thus,
P = 38 + 40 + 2(5)
= 38 + 40 + 10
= 88 km