The length of a rectangle exceeds the width by 7 cm. If the area is 60 cm, find the length of the rectangle.

Length = 12cm

Step-by-step explanation:

The dimensions of the recatngle is:

- width → x

and

- length → x+7

The area of a rectangle follows the formula: length*width

Meaning: x * (x + 7) = 60

Expand that: x^2 + 7x = 60

Rearragne the equation and factorise it

(x-5)(x+12) = 0

The width cannot be a negative value, so the answer must be 5.

Remember that x was the width and the length is the width add the 7.

So the length is 12 cm.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3