posted by .

The length of a rectangle is 4 m less than the diagonal and the width is 7 m less than the diagonal. If the area is 76 m2, how long is the diagonal? Round your answer to the nearest tenth.

If the sides are x and y, and the diagonal is d,

x = d-7
y = d-4
so,

d = x+7 = y+4
That is, y = x+3

xy = 76, so
x(x+3) = 76
x = 7.35

So, the rectangle is 7.35 x 10.35
area = 76
diagonal is 12.69

## Similar Questions

Hi.-It's Margie and I have a Math Lab to do but I don't get this.If you can, please help.: Use the Pythagorean Theorem to find the diagonal of the new room. length=22 width=25 area=350 Is the area supposed to be 550 instead of 350?

The length of a rectangle is 3 cm and the width is 2 cm. find the length of the diagonal. Is there a formula to do this?
3. ### Geometry

The length of a rectangle is 1cm longer than its width. If the diagonal of the rectangle is 4cm, what are the dimensions(the length and the width)of the rectangle?
4. ### Math 11

I need help on this math problem. The width of a certain painting is 5cm less than twice the length. The length of the diagonal distance across the painting is 107cm. Find the length and width. Round your answer to 2 decimal places. …
5. ### alg 150 help

the width of a rectangle is 9 less than twice the length. if the area os the rectangle is 41cm^2 what is the length of the diagonal?
6. ### math

I have to find the area of a kite. I am only given part of the longest diagonal (12 cm) and half of the other diagonal (9 cm). I know the formula is diagonal 1 times diagonal 2 times 1/2. I have the length for one diagonal which is …
7. ### math algebra 1

The length of a rectangle is 2 m less than the diagonal and the width is 8 m less than the diagonal. If the area is 82 m2, how long is the diagonal?
8. ### Algebra

The length of a rectangle is 3 m less than the diagonal and the width is 8 m less than the diagonal. If the area is 84 m2, how long is the diagonal?
9. ### TRIG

The length of a rectangle is 142.9 in. If the diagonal makes an angle of 32.1o with this side, find the measure of the diagonal of the rectangle rounded to the nearest tenth of an inch. let x represent the diagonal.
10. ### Trig

The length of a rectangle is 142.9 in. If the diagonal makes an angle of 32.1o with this side, find the measure of the diagonal of the rectangle rounded to the nearest tenth of an inch. let x represent the diagonal.

More Similar Questions