[ Answer ]
[ Explanation ]
- Formula For Area Of Trapezoid:
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A = 10
B = 18
H = 6
- Plug Numbers Into Equation:
10 + 18 = 28
28 ÷ 2 = 14
14 · 6 = 84
84
Assume that the length of the rectangle is "l" and that the width is "w".
We are given that:
(1) The length is one more than twice the base. This means that:
l = 2w + 1 .......> equation I
(2) The perimeter is 92 cm. This means that:
92 = 2(l+w) ...........> equation II
Substitute with equation I in equation II to get the width as follows:
92 = 2(l+w)
92 = 2(2w+1+w)
92/2 = 3w + 1
46 = 3w + 1
3w = 46-1 = 45
w = 45/3
w = 15
Substitute with w in equation I to get the length as follows:
l = 2w + 1
l = 2(15) + 1
l = 30 + 1 = 31
Based on the above calculations:
length of base = 31 cm
width of base = 15 cm
Answer:x=-3,y=3
or (-3,3)
Step-by-step explanation: