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The length of a rectangular garden is 7 feet longer than its width. If the gardens perimeter is 194 feet, what is the area of the garden in square feet

Respuesta :

thedemon840

Answer:

2340 ft^2

Step-by-step explanation:

Assume the width to be...x

then the length to be....x + 7

Perimeter = 2(x)+ 2(x + 7)....lm multiplying by two because there is two sides(length and width)

;194 = 2x + 2x + 14

; x(width) = 45ft

then the Area = 45 × (45 + 7)

;AREA = 2340 ft^2

smayra1191

Answer:

area of garden is 2,340 square feet !!

Step-by-step explanation:

Let the length be x and width be y

Given, The length of a rectangular garden is 7 feet longer than its width

x = 7 + y ... ( i )

Also, perimeter of the rectangular garden = 2 ( x + y )

= 2 ( 7 + y + y ) ... ( from i )

= 2 ( 7 + 2y )

194 = 2 ( 7 + 2y )

97 = 7 + 2y

90 = 2y

45 = y

Also, x = 7 + y = 52

So, the area of the garden = xy

= ( 45 )(52)

= 2,340 square feet !!