SOLUTION: the length of a rectangular field is 2 metres longer than the width the diagonal of the field is 10 metres what is the area of the field

Algebra ->  Rectangles -> SOLUTION: the length of a rectangular field is 2 metres longer than the width the diagonal of the field is 10 metres what is the area of the field      Log On


   

Question 1083786: the length of a rectangular field is 2 metres longer than the width the diagonal of the field is 10 metres what is the area of the field
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Dimensions w+2 and w;
Diagonal, 10;

%28w%2B2%29%5E2%2Bw%5E2=10%5E2
-
w%5E2%2B4w%2B4%2Bw%5E2=100
2w%5E2%2B4w%2B4-100=0
w%5E2%2B2w%2B2-50=0
w%5E2%2B2w-48=0
%28w-6%29%28w%2B8%29=0

w=6, and length: w%2B2=8.

AREA:
w%28w%2B2%29=48

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

the length of a rectangular field is 2 metres longer than the width the diagonal of the field is 10 metres what is the area of the field
The RUBBISH the other person gave you is WRONG, WRONG, WRONG. The answer, in a million years WILL NEVER be 5.1..... metres and 36.++++ sq metres.

The correct answer is: highlight_green%28matrix%281%2C5%2C+Area%2C+%22=%22%2C+48%2C+sq%2C+metres%29%29

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Right-angled (3-4-5) triangle with the similarity coefficient of 2.

The legs are 6 m and 8 m, the diagonal is 10 m.

The area of the rectangle is 6*8 = 48 m^2.