Question

6 cm

x cm
D
4 cm
x cm
B
The area of rectangle ABCD is 28 cm²
a) What is the length of side AB in terms of x?
length of AB

Answer 1

L×B=24 cm^2. L=24/B

2{L+B}= 28

2{24/B+B}=28

B^2–14B+24=0

B^2–12B-2B+24=0

B(B-12)-2(B-12)=0

(B-2)(B-12)=0 B= 2 or,12cm

Breadth=2 cm

Length=12 cm

Explanation:

L×B=24 cm^2. L=24/B

2{L+B}= 28

2{24/B+B}=28

B^2–14B+24=0

B^2–12B-2B+24=0

B(B-12)-2(B-12)=0

(B-2)(B-12)=0 B= 2 or,12cm

Breadth=2 cm

Length=12 cm