Gavin and jim win some money and share it in the ratio 4: 5. gavin get £20. home much did they win in total

£45

Step-by-step explanation:

Gavin's share of £20 is 4 parts

Divide by 4 to find the value of one part of the ratio.

£20 ÷ 4 = £5← value of 1 part, thus

5 parts = 5 × £5 = £25

Thus Jim got £25

Hence total won = £20 + £25 = £45

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240