Friday

March 6, 2015

March 6, 2015

Posted by **Simon** on Sunday, October 23, 2011 at 9:27am.

A. The perimeter of the rectangle

B. The length of the side of a square with the same perimeter

If the sum of the areas of the square and the rectangle is 94 cm^2 , find x. Explain your working and solution

- Math -
**Reiny**, Sunday, October 23, 2011 at 9:40ama) P = 2(x+4) + 2x = 4x + 8

b) if this had been a square, then each side would have been (4x+8)/4 = x+2

x(x+4) + (x+2)^2 = 94

x^2 + 4x + x^2 + 4x + 4 = 94

2x^2 + 8x - 90 = 0

x^2 + 4x - 45 = 0

(x+9)(x-5) = 0

x = a negative or x = 5

check:

rectange was 5 by 9 for an area of 45

square was 7 by 7 for an area of 49

total area is 45+49 = 94 ,

all is good!

**Answer this Question**

**Related Questions**

Math - The length and width of a rectangle are (x+4)cm and xcm respectively. ...

basic geometric - 10. a rectangle has width the same as a side of a square whose...

basic geometry - A rectangle has width the same asa a side of a square whose ...

math - The length of a rectangle is three times the length of a side of a square...

algebra - The length of a rectangle is 5 inches longer than its width. Its ...

Math - The area of a rectangle is shown below The area of the rectangle is 56 ...

maths - the length of a rectangle is 3 less than 5 times its width. Write a ...

algebra - A square and a rectangle have the same perimeter. The length of the ...

Math - The variable W represents the width of a rectangle. The length of the ...

Algebra I - The expression 2(l+w) may be used to find the perimeter of a ...