A 13 foot board is cut into two pieces. The length of the shorter piece is 1 ft more than half the length of the longer piece. F

Question

2 years ago

12

ind the length in ft of the shorter piece.

1 answer:

docker41 [41] · Answer 1 · 2023-12-18T21:01:58+03:00

The length of the pieces are 5 foot and 8 foot.

<h3>what is Algebra?</h3>

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

Total length of board is 13 foot.

let the length of first piece be x

and length of second piece be y

So, x+ y = 13 .......(1)

Now, The length of the shorter piece is 1 ft more than half the length of the longer piece

x = y/2 + 1......(2)

Now, solving (1) and (2) we get

y/2 + 1 + y = 13

3y/2 = 12

y=24/3

y=8

Then x= 13-8

x= 5

Hence, the length of the pieces are 5 foot and 8 foot.

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