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The rectangle shown has a permiter of 98 cm and the given area(A=360 cm²)Its length 4 more that four times its width. continue in descripiton

write and solve a system of equations to find the dimensons of the rectangle
Width and length

answer asap

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1 Answer

(i)    P = 2(L + W) = 98
 
(ii)   A = LW = 360
 
(iii)  L = 4W + 4
 
Only 2 of the 3 equations above are independent.  Working with (i) and (iii),
 
98 = 2[(4W + 4) + W] = 2(5W + 4) = 10W + 8
98 = 10W + 8
W = (98 - 8)/10 = 9
 
W = 9 cm
 
L = 4(9) + 4 = 40
 
L = 40 cm
 
Note that 
 
LW = 9(40) = 360 = A,   
 
so the answers agree with (i).