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Chapter 3: Q. 273 (page 376)

The perimeter of a rectangular field is 560 yards. The length is 40 yards more than the width. Find the length and width of the field.

Short Answer

Expert verified

The length is 160yardsmeters and width is120yards.

Step by step solution

01

Step 1. Given information

The perimeter of a rectangular field is P=560yards

The length is 40 yards more than the width.

02

Step 2. Finding length and width of a rectangle

Let P be the perimeter,x be the width and x+40 be the length of rectangle ABCD

Now substitute the given values in the formula for perimeter P=2L+2W

560=2(x+40)+2x560=2x+80+2x560=4x+80560-80=4x480=4xx=4804x=120x+40=120+40=160

03

Step 3. Checking

Check the solution by using the formula P=2L+2W

560=2(160)+2(120)560=320+240560=560[true]

Therefore, the length 160yardsand width is 120yards.

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