Answer:
Step-by-step explanation:
the perimeter is : p = 2(x+y)..... x : width y : length
you have the system ; 2(x+y) = 252.......(1)
x = (2/7) y ...........(2)
y > x ....(3)
Substitute x = (2/7) y into (1) and simplifiy and solve for y :
(2/7) y + y = 126
(2y+7y)/7 = 126
9y = 882
y = 98 m ( the length )
The length of the rectangular block of land is 98 m.
The perimeter of the rectangular block is given by following formula;
[tex]\rm Perimeter \ of \ rectangular \ block= 2(Length + Width)\\\\[/tex]
Let l is the length of a rectangular block of land and w is the width of a rectangular block of land.
The width of a rectangular block of land is 2/7 of its length. If it’s perimeter is 252m, find it’s length.
The width of a rectangular block of land is 2/7 of its length.
w = (2/7) l
The width of the rectangular block of land is;
[tex]\rm Perimeter \ of \ rectangular \ block= 2(Length + Width)\\\\ 252=2(l+w)\\\\\dfrac{252}{2}=\dfrac{2}{7}l+l\\\\126= \dfrac{2l+7l}{7}\\\\ 126= \dfrac{9l}{7}\\ \\ 9l =126\times 7\\\\\rm 9l =882\\\\ l =\dfrac{882}{9}\\\\ l=98[/tex]
The width of the rectangular block of land is;
[tex]\rm l = (2/7) w \\\\l =\dfrac{2}{7} \times 98\\\\l=2 \times 1 4\\\\l =28[/tex]
Hence, the length of the rectangular block of land is 98 m.
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