P = 2(L + W)
P = 200
L = 2W + 4
200 = 2(2W + 4 + W)
200 = 2(3W + 4)
200 = 6W + 8
200 - 8 = 6W
192 = 6W
192/6 = W
32 = W <== the width is 32 ft
L = 2W + 4
L = 2(32) + 4
L = 64 + 4
L = 68 <=== the length is 68 ft
Answer:
Step-by-step explanation:
The have the same slope, -1, but different y-intercepts. The lines are parallel.
Answer:
$500.
Step-by-step explanation:
The answer would be
2 x 2 = 4
Answer:
256/3 = 85 1/3 square inches
Step-by-step explanation:
The dimensions of the first inscribed triangle are 1/2 those of the original, so its area is (1/2)² = 1/4 of the original. The area of the original is ...
A = (1/2)bh = (1/2)(16/√2)(16/√2) = 64 . . . . square inches
The sum of an infinite series with first term 64 and common ratio 1/4 is ...
S = a1/(1 -r) . . . . . . for first term a1 and common ratio r
= 64/(1 -1/4) = 64(4/3) = 256/3 . . . . square inches
The sum of the areas of the triangles is 256/3 = 85 1/3 square inches.
