Question

I need answer asap 10 points

Answer 1

here,

Area of rectangular garden=37m²

Explanation:

(a):

l×b=37

(2x+7)×(x-3)=37

(2x²-6x+7x-21)=37

2x²+x-21-37=0

2x²+x-58=0

where a=2,b=1 and c=58 are integers

(b):

again,

To find the value of x, we can make use of the quadratic formula:

x=\frac{-b \pm \sqrt{b^(2)-4ac}}{2a}

x=

`- 1 \pm\ \sqrt{1 { }^(2) - 4 *`

`x = - 1 \pm\ \sqrt{1^(2) - 4 * 2 * ( - 58) } / 2 * 2`

x={-1\pm\√1-8×(-58)}÷4

x=(-1\pm\√1+464)÷4

x=(-1\pm\√465)÷4

x=-(1\pm\21.56)÷4

Since using a negative value of x, can give negative lengths or widths (which is impossible), we will omit it.

tasking (+) sign

x=(-1+21.56)÷4

x=20.56÷4

x= 5.1

therefore value of X is 5.1.