Question

the length of a rectangle is 4cm less than thrice the width. when the length is increased by 7cm and the width is decreased by 2 cm, the perimeter equals 90 cm. find the length and width of the rectangle​

Answer 1

Answer:

Length 29cm

Width 11cm

Step-by-step explanation:

Let the width be x cm then the length will be (3x-4)cm when the length becomes 7cm long, it will be (3x-4+7)cm=(3x+3)cm and the width becomes 2cm short,it will be(x-2)cm according to problem ⇒2{(3x+3)+(x-2)}=90 ⇒2{3x+3+x-2}=90 ⇒2{4x+1)}=90 ⇒8x+2=90 ⇒8x=88 ⇒x=11 hence,

Width will be 11 cm

Length will be 29 Cm

Hope it helps you

Answer 2

Answer:

4-3x+x+7+x-2=90

5x+5=90

5x=90-5

5x=85

×=85/5

x=17