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stargirl21359
27.08.2019 •
Mathematics
Th vertices of a sandbox are p(12, 14), q(12, 17), r (16, 17) and s (16, 14).the coordinates are measured in feet . what is the perimeter of the sandbox ?
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Ответ:
12,14 to 16,14 is a move to the right of 4 (12 to 16)
That means the dimensions of the sandbox are 3ft by 4ft and the perimeter is 2(l+w) or in this case 2 (3+4) or 14 ft
Ответ:
The perimeter of the sandbox is 14 feet
Step-by-step explanation:
To find the perimeter of the sandbox, we will find the distance between the points using the distance formula and then add them together
p(12, 14), Q(12, 17), R (16, 17) and S (16, 14)
Distance formula;
D = √ (
-
)² + (
-
)²
p(12, 14) Q(12, 17)
|PQ| = √ (
-
)² + (
-
)²
= √(12-12)² + (17-14)²
= √0² + (-3)²
=√9
=3
|PQ| = 3
Q(12, 17) R (16, 17)
|QR| = √ (
-
)² + (
-
)²
=√( 17 - 17)² + (16 - 12)²
=√0² + 4²
=√16
= 4
|QR| = 4
R (16, 17) S (16, 14)
|RS| = √ (
-
)² + (
-
)²
=√(16-16)² + (14 -17)²
=√0² + (-3)²
=√9
=3
|RS| = 3
S (16, 14) p(12, 14)
|SP| = √ (
-
)² + (
-
)²
=√ (14 - 14)² + (12 - 16)²
=√0² + (-4)²
=√16
=4
|SP| = 4
Perimeter = |PQ| + |QR| + |RS| + |SP|
= 3 + 4 + 3 + 4
=14
Since the coordinates are measured in feet, perimeter= 14 feet
Therefore the perimeter of the sandbox is 14 feet.
Ответ:
are to make x stand alone or what