2023 Mathematics Competition

### Question 28

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### 3 comments

###### Akinola Ajayi

6 months agoLet the width be x

Length=5+x

Area=Length*width

50=x(5+x)

50=5x+x²

x²+5x-50=0

(x+10)(x-5)=0

x=-10or5

Since x can't be negative

Therefore x =5cm

Length=5+5=10cm

Perimeter=2(length+width)

perimeter=2(10+5)

Perimeter=2(15)=30cm

Area*perimeter=50cm²*30cm=1500cm³

###### Immaculate Nzekwe

6 months agoAnswer= 1500

Length= 10cm

Width= 5cm

Perimeter = 2(L+W)

= 2(10+5)= 2×15 = 30cm

Area + Perimeter = 50 +30 =1500