Friday

August 1, 2014

August 1, 2014

Posted by **Ghiffari** on Monday, October 24, 2011 at 8:48pm.

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 94cm(square), find x

Pls include workings thx

- Math -
**Steve**, Tuesday, October 25, 2011 at 12:24amp = 2(width+length) = 2(x+4+x) = 2(2x+4) = 4x+8

s = p/4 = (4x+8)/4 = x + 2

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

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

94 = 2x^2 + 8x + 4

2x^2 + 8x - 90 = 0

x^2 + 4x - 45 = 0

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

x = 5

rectangle is 5x9; p=28 a=45

square = 7x7; p=28 a=49

45+49 = 94

**Related Questions**

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

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

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

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

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

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

Algebra 1 - Okay one last one that I've spent all night truing to figue out. 2. ...

College Algrebra Math 133 unti 1 IP 1 - Suppose the width of a rectangle is 5 ...